﻿14:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.131856:0.485691:0.131856:0.485691:0.116491:0.306727:0.116491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.132641:0.297589:0.132641:0.297589:0.115506:0.284763:0.115506:0.000000
Productos notables:@0.287495:0.375201:0.455857:0.375201:0.455857:0.356764:0.287495:0.356764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ciertos productos que se desarrollan mediante la aplicación de las propiedades alge-:@0.287495:0.398611:0.903636:0.398611:0.903636:0.382222:0.287495:0.382222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
braicas de números reales, por su uso frecuente, se denominan productos notables. :@0.287495:0.415207:0.907639:0.415207:0.907639:0.398818:0.287495:0.398818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mientras que el proceso inverso, es decir encontrar los factores de un producto dado, :@0.287495:0.431804:0.907604:0.431804:0.907604:0.415415:0.287495:0.415415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se denomina factorización.:@0.287495:0.448400:0.484374:0.448400:0.484374:0.432011:0.287495:0.432011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, se presentan los productos notables más empleados.:@0.287495:0.472119:0.796131:0.472119:0.796131:0.455730:0.287495:0.455730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.346588:0.480398:0.346588:0.480398:0.331223:0.306727:0.331223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.347373:0.297460:0.347373:0.297460:0.330238:0.284892:0.330238:0.000000
Pienso y progreso:@0.294883:0.282131:0.417347:0.282131:0.417347:0.266767:0.294883:0.266767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo crees que la matemática ayuda en la organización de un jardín?:@0.294883:0.300783:0.768115:0.300783:0.768115:0.285884:0.294883:0.285884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
María quiere construir un jardín cuadrangular en su casa. Inicialmente, planea que :@0.287495:0.159435:0.907679:0.159435:0.907679:0.143046:0.287495:0.143046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada lado del jardín mida x metros, pero luego decide ampliar cada lado 2 metros :@0.287495:0.176031:0.907733:0.176031:0.907733:0.159642:0.287495:0.159642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más, para que haya más espacio para sus plantas.:@0.287495:0.192627:0.647454:0.192627:0.647454:0.176238:0.287495:0.176238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287495:0.223483:0.303011:0.223483:0.303011:0.206347:0.287495:0.206347:0.000000:0.000000
  ¿Cuál es el área del jardín antes de la ampliación?:@0.303011:0.223483:0.674881:0.223483:0.674881:0.207094:0.303011:0.207094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.247202:0.304154:0.247202:0.304154:0.230066:0.287495:0.230066:0.000000:0.000000
  ¿Cuál es el área después de la ampliación? :@0.304154:0.247202:0.628648:0.247202:0.628648:0.230813:0.304154:0.230813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorización:@0.287495:0.606860:0.403268:0.606860:0.403268:0.588423:0.287495:0.588423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizar un polinomio es expresarlo como producto de factores primos que son :@0.287495:0.630271:0.907729:0.630271:0.907729:0.613882:0.287495:0.613882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomios diferentes a él.:@0.287495:0.646868:0.479655:0.646868:0.479655:0.630479:0.287495:0.630479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, se presentan las fórmulas de factorización de polinomios.:@0.287495:0.670587:0.825815:0.670587:0.825815:0.654198:0.287495:0.654198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Productos notables y factorización:@0.287495:0.100614:0.636946:0.100614:0.636946:0.079104:0.287495:0.079104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )  =   + 2:@0.294448:0.497354:0.398277:0.497354:0.398277:0.482455:0.294448:0.482455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.298887:0.497354:0.307314:0.497354:0.307314:0.482480:0.298887:0.482480:0.000000
b:@0.324635:0.497354:0.333062:0.497354:0.333062:0.482480:0.324635:0.482480:0.000000
2:@0.337500:0.491857:0.342266:0.491857:0.342266:0.483171:0.337500:0.483171:0.000000
a:@0.359588:0.497354:0.368014:0.497354:0.368014:0.482480:0.359588:0.482480:0.000000
2:@0.368014:0.491857:0.372780:0.491857:0.372780:0.483171:0.368014:0.483171:0.000000
ab:@0.398277:0.497354:0.415130:0.497354:0.415130:0.482480:0.398277:0.482480:0.000000:0.000000
 + :@0.415130:0.497354:0.432452:0.497354:0.432452:0.482455:0.415130:0.482455:0.000000:0.000000:0.000000
b:@0.432452:0.497354:0.440879:0.497354:0.440879:0.482480:0.432452:0.482480:0.000000
2:@0.440877:0.491857:0.445643:0.491857:0.445643:0.483171:0.440877:0.483171:0.000000
(  +  )  =   + 3:@0.529680:0.497354:0.633509:0.497354:0.633509:0.482455:0.529680:0.482455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.534119:0.497354:0.542546:0.497354:0.542546:0.482480:0.534119:0.482480:0.000000
b:@0.559868:0.497354:0.568294:0.497354:0.568294:0.482480:0.559868:0.482480:0.000000
3:@0.572732:0.491857:0.577498:0.491857:0.577498:0.483171:0.572732:0.483171:0.000000
a:@0.594820:0.497354:0.603246:0.497354:0.603246:0.482480:0.594820:0.482480:0.000000
3:@0.603246:0.491857:0.608012:0.491857:0.608012:0.483171:0.603246:0.483171:0.000000
a b:@0.633509:0.497354:0.655128:0.497354:0.655128:0.482480:0.633509:0.482480:0.000000:0.000000:0.000000
2:@0.641936:0.491857:0.646702:0.491857:0.646702:0.483171:0.641936:0.483171:0.000000
 + 3:@0.655128:0.497354:0.680626:0.497354:0.680626:0.482455:0.655128:0.482455:0.000000:0.000000:0.000000:0.000000
ab:@0.680626:0.497354:0.697479:0.497354:0.697479:0.482480:0.680626:0.482480:0.000000:0.000000
2:@0.697477:0.491857:0.702243:0.491857:0.702243:0.483171:0.697477:0.483171:0.000000
 + :@0.702243:0.497354:0.719565:0.497354:0.719565:0.482455:0.702243:0.482455:0.000000:0.000000:0.000000
b:@0.719565:0.497354:0.727991:0.497354:0.727991:0.482480:0.719565:0.482480:0.000000
3:@0.727991:0.491857:0.732757:0.491857:0.732757:0.483171:0.727991:0.483171:0.000000
( – )  = :@0.294448:0.522303:0.357644:0.522303:0.357644:0.507404:0.294448:0.507404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.298887:0.522303:0.331119:0.522303:0.331119:0.507429:0.298887:0.507429:0.000000:0.000000:0.000000
2:@0.335556:0.516805:0.340322:0.516805:0.340322:0.508119:0.335556:0.508119:0.000000
a:@0.357644:0.522303:0.366071:0.522303:0.366071:0.507429:0.357644:0.507429:0.000000
2:@0.366071:0.516805:0.370837:0.516805:0.370837:0.508119:0.366071:0.508119:0.000000
– 2:@0.374506:0.522303:0.394391:0.522303:0.394391:0.507404:0.374506:0.507404:0.000000:0.000000:0.000000
ab:@0.394391:0.522303:0.411244:0.522303:0.411244:0.507429:0.394391:0.507429:0.000000:0.000000
 + :@0.411244:0.522303:0.428566:0.522303:0.428566:0.507404:0.411244:0.507404:0.000000:0.000000:0.000000
b:@0.428566:0.522303:0.436992:0.522303:0.436992:0.507429:0.428566:0.507429:0.000000
2:@0.436990:0.516805:0.441757:0.516805:0.441757:0.508119:0.436990:0.508119:0.000000
(a  b:@0.529680:0.522303:0.565362:0.522303:0.565362:0.507429:0.529680:0.507429:0.000000:0.000000:0.000000:0.000000:0.000000
–  )  =   – 3:@0.545561:0.522303:0.625564:0.522303:0.625564:0.507404:0.545561:0.507404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.569130:0.516805:0.573896:0.516805:0.573896:0.508119:0.569130:0.508119:0.000000
a:@0.590019:0.522303:0.598445:0.522303:0.598445:0.507429:0.590019:0.507429:0.000000
3:@0.598108:0.516805:0.602874:0.516805:0.602874:0.508119:0.598108:0.508119:0.000000
a b:@0.625229:0.522303:0.646317:0.522303:0.646317:0.507429:0.625229:0.507429:0.000000:0.000000:0.000000
2:@0.633319:0.516805:0.638085:0.516805:0.638085:0.508119:0.633319:0.508119:0.000000
 + 3:@0.645982:0.522303:0.670474:0.522303:0.670474:0.507404:0.645982:0.507404:0.000000:0.000000:0.000000:0.000000
ab:@0.670139:0.522303:0.686656:0.522303:0.686656:0.507429:0.670139:0.507429:0.000000:0.000000
2:@0.686320:0.516805:0.691086:0.516805:0.691086:0.508119:0.686320:0.508119:0.000000
 – :@0.690891:0.522303:0.705935:0.522303:0.705935:0.507404:0.690891:0.507404:0.000000:0.000000:0.000000
b:@0.705600:0.522303:0.714027:0.522303:0.714027:0.507429:0.705600:0.507429:0.000000
3:@0.713690:0.516805:0.718456:0.516805:0.718456:0.508119:0.713690:0.508119:0.000000
(  +  )( – ) = :@0.294448:0.547250:0.395934:0.547250:0.395934:0.532351:0.294448:0.532351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.298887:0.547250:0.307314:0.547250:0.307314:0.532376:0.298887:0.532376:0.000000
b a b:@0.324635:0.547250:0.374172:0.547250:0.374172:0.532376:0.324635:0.532376:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.395934:0.547250:0.404360:0.547250:0.404360:0.532376:0.395934:0.532376:0.000000
2:@0.404358:0.541753:0.409125:0.541753:0.409125:0.533067:0.404358:0.533067:0.000000
– :@0.412793:0.547250:0.424503:0.547250:0.424503:0.532351:0.412793:0.532351:0.000000:0.000000
b:@0.424168:0.547250:0.432595:0.547250:0.432595:0.532376:0.424168:0.532376:0.000000
2:@0.432258:0.541753:0.437024:0.541753:0.437024:0.533067:0.432258:0.533067:0.000000
(  +  )(:@0.529680:0.547250:0.577173:0.547250:0.577173:0.532351:0.529680:0.532351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.534119:0.547250:0.542546:0.547250:0.542546:0.532376:0.534119:0.532376:0.000000
b a:@0.559868:0.547250:0.585599:0.547250:0.585599:0.532376:0.559868:0.532376:0.000000:0.000000:0.000000
2:@0.585598:0.541753:0.590364:0.541753:0.590364:0.533067:0.585598:0.533067:0.000000
–   +  ) =   + :@0.594032:0.547250:0.700303:0.547250:0.700303:0.532351:0.594032:0.532351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab b:@0.605407:0.547250:0.646333:0.547250:0.646333:0.532376:0.605407:0.532376:0.000000:0.000000:0.000000:0.000000
2:@0.645997:0.541753:0.650763:0.541753:0.650763:0.533067:0.645997:0.533067:0.000000
a:@0.670990:0.547250:0.679416:0.547250:0.679416:0.532376:0.670990:0.532376:0.000000
3:@0.679081:0.541753:0.683847:0.541753:0.683847:0.533067:0.679081:0.533067:0.000000
b:@0.699968:0.547250:0.708394:0.547250:0.708394:0.532376:0.699968:0.532376:0.000000
3:@0.708059:0.541753:0.712825:0.541753:0.712825:0.533067:0.708059:0.533067:0.000000
(  +  )(  +  ) =   +(  +  )   + :@0.294448:0.572199:0.490625:0.572199:0.490625:0.557300:0.294448:0.557300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.298887:0.572199:0.305672:0.572199:0.305672:0.557325:0.298887:0.557325:0.000000
a x:@0.322994:0.572199:0.347084:0.572199:0.347084:0.557325:0.322994:0.557325:0.000000:0.000000:0.000000
b:@0.364406:0.572199:0.372832:0.572199:0.372832:0.557325:0.364406:0.557325:0.000000
x:@0.394593:0.572199:0.401378:0.572199:0.401378:0.557325:0.394593:0.557325:0.000000
2:@0.401377:0.566701:0.406143:0.566701:0.406143:0.558015:0.401377:0.558015:0.000000
a:@0.424235:0.572199:0.432662:0.572199:0.432662:0.557325:0.424235:0.557325:0.000000
b x:@0.449984:0.572199:0.473303:0.572199:0.473303:0.557325:0.449984:0.557325:0.000000:0.000000:0.000000
ab:@0.490625:0.572199:0.507478:0.572199:0.507478:0.557325:0.490625:0.557325:0.000000:0.000000
( – )(:@0.529675:0.572199:0.575225:0.572199:0.575225:0.557300:0.529675:0.557300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b a:@0.534114:0.572199:0.583651:0.572199:0.583651:0.557325:0.534114:0.557325:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.583654:0.566701:0.588420:0.566701:0.588420:0.558015:0.583654:0.558015:0.000000
+   +  ) =   – :@0.592089:0.572199:0.698360:0.572199:0.698360:0.557300:0.592089:0.557300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab b:@0.605072:0.572199:0.645998:0.572199:0.645998:0.557325:0.605072:0.557325:0.000000:0.000000:0.000000:0.000000
2:@0.645662:0.566701:0.650428:0.566701:0.650428:0.558015:0.645662:0.558015:0.000000
a:@0.670655:0.572199:0.679081:0.572199:0.679081:0.557325:0.670655:0.557325:0.000000
3:@0.678746:0.566701:0.683512:0.566701:0.683512:0.558015:0.678746:0.558015:0.000000
b:@0.698025:0.572199:0.706451:0.572199:0.706451:0.557325:0.698025:0.557325:0.000000
3:@0.706116:0.566701:0.710882:0.566701:0.710882:0.558015:0.706116:0.558015:0.000000
Factor común:@0.294448:0.698721:0.385361:0.698721:0.385361:0.683822:0.294448:0.683822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.534426:0.698721:0.549637:0.698721:0.549637:0.683847:0.534426:0.683847:0.000000:0.000000
 +   =   (  +  ):@0.549637:0.698721:0.652848:0.698721:0.652848:0.683822:0.549637:0.683822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.566959:0.698721:0.582019:0.698721:0.582019:0.683847:0.566959:0.683847:0.000000:0.000000
x a:@0.599341:0.698721:0.622661:0.698721:0.622661:0.683847:0.599341:0.683847:0.000000:0.000000:0.000000
b:@0.639983:0.698721:0.648409:0.698721:0.648409:0.683847:0.639983:0.683847:0.000000
Factor común por agrupación :@0.294448:0.721252:0.497452:0.721252:0.497452:0.706353:0.294448:0.706353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de términos:@0.294448:0.736340:0.374975:0.736340:0.374975:0.721441:0.294448:0.721441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.534426:0.728796:0.549637:0.728796:0.549637:0.713922:0.534426:0.713922:0.000000:0.000000
 +   +   +   =  (  +  ) +   (  +  ) = (  +  ) (  +  ):@0.549637:0.728796:0.891872:0.728796:0.891872:0.713897:0.549637:0.713897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.566959:0.728796:0.582019:0.728796:0.582019:0.713922:0.566959:0.713922:0.000000:0.000000
ay:@0.599341:0.728796:0.614569:0.728796:0.614569:0.713922:0.599341:0.713922:0.000000:0.000000
by:@0.631891:0.728796:0.647019:0.728796:0.647019:0.713922:0.631891:0.713922:0.000000:0.000000
x  a:@0.664341:0.728796:0.687007:0.728796:0.687007:0.713922:0.664341:0.713922:0.000000:0.000000:0.000000:0.000000
b:@0.704329:0.728796:0.712755:0.728796:0.712755:0.713922:0.704329:0.713922:0.000000
y a:@0.734516:0.728796:0.757852:0.728796:0.757852:0.713922:0.734516:0.713922:0.000000:0.000000:0.000000
b:@0.775174:0.728796:0.783601:0.728796:0.783601:0.713922:0.775174:0.713922:0.000000
a:@0.809802:0.728796:0.818228:0.728796:0.818228:0.713922:0.809802:0.713922:0.000000
b x:@0.835550:0.728796:0.863309:0.728796:0.863309:0.713922:0.835550:0.713922:0.000000:0.000000:0.000000
y:@0.880631:0.728796:0.887432:0.728796:0.887432:0.713922:0.880631:0.713922:0.000000
Diferencia de cuadrados:@0.294448:0.758870:0.455974:0.758870:0.455974:0.743971:0.294448:0.743971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.534426:0.758870:0.542852:0.758870:0.542852:0.743997:0.534426:0.743997:0.000000
2:@0.542854:0.753380:0.547620:0.753380:0.547620:0.744694:0.542854:0.744694:0.000000
–   = (  +  )( –  ):@0.551289:0.758878:0.674679:0.758878:0.674679:0.743979:0.551289:0.743979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.563334:0.758878:0.571760:0.758878:0.571760:0.744004:0.563334:0.744004:0.000000
2:@0.571760:0.753380:0.576526:0.753380:0.576526:0.744694:0.571760:0.744694:0.000000
a:@0.598288:0.758878:0.606714:0.758878:0.606714:0.744004:0.598288:0.744004:0.000000
b a b:@0.624036:0.758878:0.670239:0.758878:0.670239:0.744004:0.624036:0.744004:0.000000:0.000000:0.000000:0.000000:0.000000
Trinomio cuadrado perfecto:@0.294449:0.783823:0.481905:0.783823:0.481905:0.768924:0.294449:0.768924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.534427:0.783823:0.541212:0.783823:0.541212:0.768949:0.534427:0.768949:0.000000
2:@0.540877:0.778329:0.545643:0.778329:0.545643:0.769643:0.540877:0.769643:0.000000
 ± 2  +   = (  ±  ):@0.545643:0.783827:0.664543:0.783827:0.664543:0.768928:0.545643:0.768928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy y:@0.569800:0.783827:0.606019:0.783827:0.606019:0.768953:0.569800:0.768953:0.000000:0.000000:0.000000:0.000000
2:@0.605684:0.778329:0.610450:0.778329:0.610450:0.769643:0.605684:0.769643:0.000000
x y:@0.630871:0.783827:0.660439:0.783827:0.660439:0.768953:0.630871:0.768953:0.000000:0.000000:0.000000
2:@0.664207:0.778329:0.668973:0.778329:0.668973:0.769643:0.664207:0.769643:0.000000
Suma de cubos:@0.294448:0.808774:0.397793:0.808774:0.397793:0.793875:0.294448:0.793875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.534426:0.808774:0.542852:0.808774:0.542852:0.793900:0.534426:0.793900:0.000000
3:@0.542519:0.803276:0.547285:0.803276:0.547285:0.794590:0.542519:0.794590:0.000000
 +   = (  +  )( – :@0.547285:0.808774:0.665823:0.808774:0.665823:0.793875:0.547285:0.793875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.563602:0.808774:0.572028:0.808774:0.572028:0.793900:0.563602:0.793900:0.000000
3:@0.571693:0.803276:0.576459:0.803276:0.576459:0.794590:0.571693:0.794590:0.000000
a b a:@0.596880:0.808774:0.646015:0.808774:0.646015:0.793900:0.596880:0.793900:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.645678:0.803276:0.650444:0.803276:0.650444:0.794590:0.645678:0.794590:0.000000
ab:@0.665823:0.808774:0.682676:0.808774:0.682676:0.793900:0.665823:0.793900:0.000000:0.000000
 +  ):@0.682676:0.808774:0.717630:0.808774:0.717630:0.793875:0.682676:0.793875:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.699998:0.808774:0.708425:0.808774:0.708425:0.793900:0.699998:0.793900:0.000000
2:@0.708425:0.803276:0.713191:0.803276:0.713191:0.794590:0.708425:0.794590:0.000000
Diferencia de cubos:@0.294448:0.833719:0.426842:0.833719:0.426842:0.818820:0.294448:0.818820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.534426:0.833719:0.542852:0.833719:0.542852:0.818845:0.534426:0.818845:0.000000
3:@0.542519:0.828225:0.547285:0.828225:0.547285:0.819539:0.542519:0.819539:0.000000
 –   = (  –  )(  +   +  ):@0.547285:0.833723:0.713341:0.833723:0.713341:0.818824:0.547285:0.818824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.561994:0.833723:0.570420:0.833723:0.570420:0.818849:0.561994:0.818849:0.000000
3:@0.570085:0.828225:0.574851:0.828225:0.574851:0.819539:0.570085:0.819539:0.000000
a b a:@0.595272:0.833723:0.642799:0.833723:0.642799:0.818849:0.595272:0.818849:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.642462:0.828225:0.647228:0.828225:0.647228:0.819539:0.642462:0.819539:0.000000
ab b:@0.663545:0.833723:0.704471:0.833723:0.704471:0.818849:0.663545:0.818849:0.000000:0.000000:0.000000:0.000000
2:@0.704136:0.828225:0.708902:0.828225:0.708902:0.819539:0.704136:0.819539:0.000000
Trinomio de la forma :@0.294448:0.858667:0.436657:0.858667:0.436657:0.843768:0.294448:0.843768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.436657:0.858667:0.443442:0.858667:0.443442:0.843794:0.436657:0.843794:0.000000
2n:@0.443440:0.853172:0.453441:0.853172:0.453441:0.844486:0.443440:0.844486:0.000000:0.000000
 + :@0.453441:0.858670:0.470763:0.858670:0.470763:0.843771:0.453441:0.843771:0.000000:0.000000:0.000000
bx:@0.470763:0.858670:0.485824:0.858670:0.485824:0.843796:0.470763:0.843796:0.000000:0.000000
n:@0.485824:0.853172:0.491059:0.853172:0.491059:0.844486:0.485824:0.844486:0.000000
+ :@0.491059:0.858670:0.504712:0.858670:0.504712:0.843771:0.491059:0.843771:0.000000:0.000000
c:@0.504712:0.858670:0.511681:0.858670:0.511681:0.843796:0.504712:0.843796:0.000000
x:@0.534431:0.858859:0.541216:0.858859:0.541216:0.843985:0.534431:0.843985:0.000000
2:@0.540877:0.853355:0.545643:0.853355:0.545643:0.844669:0.540877:0.844669:0.000000
n:@0.545643:0.853355:0.550683:0.853355:0.550683:0.844683:0.545643:0.844683:0.000000
 + :@0.550684:0.858852:0.567336:0.858852:0.567336:0.843953:0.550684:0.843953:0.000000:0.000000:0.000000
bx:@0.567001:0.858852:0.581726:0.858852:0.581726:0.843978:0.567001:0.843978:0.000000:0.000000
n:@0.581389:0.853355:0.586429:0.853355:0.586429:0.844683:0.581389:0.844683:0.000000
 +   = (  +  )(  + ) donde   =   +  ;   = :@0.586430:0.858852:0.864076:0.858852:0.864076:0.843953:0.586430:0.843953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.602747:0.858852:0.609716:0.858852:0.609716:0.843978:0.602747:0.843978:0.000000
x:@0.629802:0.858852:0.636587:0.858852:0.636587:0.843978:0.629802:0.843978:0.000000
n:@0.636250:0.853355:0.641290:0.853355:0.641290:0.844683:0.636250:0.844683:0.000000
M x:@0.657606:0.858852:0.684896:0.858852:0.684896:0.843978:0.657606:0.843978:0.000000:0.000000:0.000000
n:@0.684561:0.853355:0.689600:0.853355:0.689600:0.844683:0.684561:0.844683:0.000000
m:@0.702583:0.858852:0.715884:0.858852:0.715884:0.843978:0.702583:0.843978:0.000000
b M m c M m:@0.768889:0.858852:0.894582:0.858852:0.894582:0.843978:0.768889:0.843978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.876037:0.858349:0.881616:0.858349:0.881616:0.845915:0.876037:0.845915:0.000000
Trinomio de la forma :@0.294444:0.887494:0.436654:0.887494:0.436654:0.872595:0.294444:0.872595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.436654:0.887494:0.451865:0.887494:0.451865:0.872620:0.436654:0.872620:0.000000:0.000000
2n:@0.451867:0.881995:0.461868:0.881995:0.461868:0.873309:0.451867:0.873309:0.000000:0.000000
 + :@0.461868:0.887492:0.479190:0.887492:0.479190:0.872593:0.461868:0.872593:0.000000:0.000000:0.000000
bx:@0.479190:0.887492:0.494250:0.887492:0.494250:0.872618:0.479190:0.872618:0.000000:0.000000
n:@0.494250:0.881995:0.499485:0.881995:0.499485:0.873309:0.494250:0.873309:0.000000
+ :@0.499485:0.887492:0.513138:0.887492:0.513138:0.872593:0.499485:0.872593:0.000000:0.000000
c:@0.513138:0.887492:0.520107:0.887492:0.520107:0.872618:0.513138:0.872618:0.000000
ax:@0.534431:0.881206:0.549307:0.881206:0.549307:0.866332:0.534431:0.866332:0.000000:0.000000
2:@0.548969:0.875708:0.553735:0.875708:0.553735:0.867022:0.548969:0.867022:0.000000
n:@0.553735:0.875708:0.558774:0.875708:0.558774:0.867037:0.553735:0.867037:0.000000
 + :@0.558774:0.881206:0.575426:0.881206:0.575426:0.866307:0.558774:0.866307:0.000000:0.000000:0.000000
bx:@0.575091:0.881206:0.589816:0.881206:0.589816:0.866332:0.575091:0.866332:0.000000:0.000000
n:@0.589481:0.875708:0.594520:0.875708:0.594520:0.867037:0.589481:0.867037:0.000000
 +   = (:@0.594522:0.881206:0.638229:0.881206:0.638229:0.866307:0.594522:0.866307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.610838:0.881206:0.617807:0.881206:0.617807:0.866332:0.610838:0.866332:0.000000
px:@0.637894:0.881206:0.652619:0.881206:0.652619:0.866332:0.637894:0.866332:0.000000:0.000000
n:@0.652282:0.875708:0.657322:0.875708:0.657322:0.867037:0.652282:0.867037:0.000000
 +  )(:@0.657321:0.881206:0.686655:0.881206:0.686655:0.866307:0.657321:0.866307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r qx:@0.673638:0.881206:0.701196:0.881206:0.701196:0.866332:0.673638:0.866332:0.000000:0.000000:0.000000:0.000000
n:@0.700861:0.875708:0.705900:0.875708:0.705900:0.867037:0.700861:0.867037:0.000000
 +  ) donde   =  ;   =   + :@0.705900:0.881206:0.882135:0.881206:0.882135:0.866307:0.705900:0.866307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.722217:0.881206:0.728013:0.881206:0.728013:0.866332:0.722217:0.866332:0.000000
a pq b ps rq:@0.781018:0.881206:0.894565:0.881206:0.894565:0.866332:0.781018:0.866332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y   = :@0.534422:0.893779:0.568078:0.893779:0.568078:0.878880:0.534422:0.878880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c rs:@0.544792:0.893779:0.578012:0.893779:0.578012:0.878905:0.544792:0.878905:0.000000:0.000000:0.000000:0.000000
Cubo perfecto:@0.294444:0.916310:0.391355:0.916310:0.391355:0.901411:0.294444:0.901411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.534422:0.916310:0.541207:0.916310:0.541207:0.901436:0.534422:0.901436:0.000000
3:@0.540877:0.910816:0.545643:0.910816:0.545643:0.902130:0.540877:0.902130:0.000000
 ± 3:@0.545643:0.916313:0.570135:0.916313:0.570135:0.901414:0.545643:0.901414:0.000000:0.000000:0.000000:0.000000
x y:@0.569800:0.916313:0.591151:0.916313:0.591151:0.901439:0.569800:0.901439:0.000000:0.000000:0.000000
2:@0.576250:0.910816:0.581016:0.910816:0.581016:0.902130:0.576250:0.902130:0.000000
 + 3:@0.590816:0.916313:0.615308:0.916313:0.615308:0.901414:0.590816:0.901414:0.000000:0.000000:0.000000:0.000000
xy:@0.614973:0.916313:0.628408:0.916313:0.628408:0.901439:0.614973:0.901439:0.000000:0.000000
2:@0.628072:0.910816:0.632838:0.910816:0.632838:0.902130:0.628072:0.902130:0.000000
 ±   =(  ±  ):@0.632838:0.916313:0.711147:0.916313:0.711147:0.901414:0.632838:0.901414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.649155:0.916313:0.655956:0.916313:0.655956:0.901439:0.649155:0.901439:0.000000
3:@0.655621:0.910816:0.660387:0.910816:0.660387:0.902130:0.655621:0.902130:0.000000
x y:@0.677474:0.916313:0.707042:0.916313:0.707042:0.901439:0.677474:0.901439:0.000000:0.000000:0.000000
3:@0.710812:0.910816:0.715578:0.910816:0.715578:0.902130:0.710812:0.902130:0.000000
En los diseños de jardines se :@0.081048:0.275631:0.253996:0.275631:0.253996:0.262221:0.081048:0.262221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emplean las matemáticas.:@0.095280:0.288202:0.250693:0.288202:0.250693:0.274793:0.095280:0.274793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Medición de una placa :@0.106791:0.737169:0.246873:0.737169:0.246873:0.723760:0.106791:0.723760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de circuito eléctrico:@0.125004:0.749741:0.243570:0.749741:0.243570:0.736332:0.125004:0.736332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los productos notables :@0.087782:0.448274:0.247833:0.448274:0.247833:0.433375:0.087782:0.433375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son muy utilizados en :@0.098671:0.463362:0.247834:0.463362:0.247834:0.448463:0.098671:0.448463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingeniería. Por ejemplo, :@0.087715:0.478450:0.247831:0.478450:0.247831:0.463551:0.087715:0.463551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para calcular la intensidad :@0.071264:0.493537:0.247833:0.493537:0.247833:0.478638:0.071264:0.478638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en circuitos eléctricos, :@0.097331:0.508625:0.247833:0.508625:0.247833:0.493726:0.097331:0.493726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para calcular la torsión en :@0.074162:0.523712:0.247833:0.523712:0.247833:0.508813:0.074162:0.508813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estructuras o para calcular :@0.069840:0.538800:0.247833:0.538800:0.247833:0.523901:0.069840:0.523901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el número de individuos :@0.081516:0.553888:0.247833:0.553888:0.247833:0.538989:0.081516:0.538989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en un algoritmo genético.:@0.070611:0.568975:0.244162:0.568975:0.244162:0.554076:0.070611:0.554076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga y escribe :@0.141875:0.771677:0.247181:0.771677:0.247181:0.756803:0.141875:0.756803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el cuaderno otras :@0.115675:0.786765:0.247179:0.786765:0.247179:0.771891:0.115675:0.771891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las aplicaciones de :@0.107215:0.801853:0.247179:0.801853:0.247179:0.786979:0.107215:0.786979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los productos notables.:@0.098185:0.816940:0.244164:0.816940:0.244164:0.802066:0.098185:0.802066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115206:0.415832:0.222747:0.415832:0.222747:0.398932:0.115206:0.398932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.063672:0.624798:0.063672:0.581973:0.051761:0.581973:0.051761:0.624798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.063672:0.140094:0.063672:0.097268:0.051761:0.097268:0.051761:0.140094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.1 :@0.298180:0.946788:0.343077:0.946788:0.343077:0.934496:0.298180:0.934496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades algebraicas de los números reales en la resolución de productos notables y en la :@0.343447:0.946788:0.906516:0.946788:0.906516:0.934868:0.343447:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorización de expresiones algebraicas.:@0.298180:0.958103:0.514872:0.958103:0.514872:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000