﻿134:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Factorización y fracciones algebraicas:@0.073089:0.043661:0.408833:0.043661:0.408833:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.1 Simplificación de fracciones:@0.293660:0.136836:0.540017:0.136836:0.540017:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para simplificar una fracción algebraica, se debe tener en cuenta que, si se divide :@0.293660:0.164198:0.931289:0.164198:0.931289:0.147764:0.293660:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numerador y denominador entre la misma cantidad, la fracción no cambia.:@0.293660:0.180840:0.835684:0.180840:0.835684:0.164406:0.293660:0.164406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para simplificar una fracción se debe proceder de la siguiente forma::@0.305399:0.212727:0.798290:0.212727:0.798290:0.196293:0.305399:0.196293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Factorizar numerador y denominador.:@0.305399:0.229369:0.609633:0.229369:0.609633:0.212935:0.305399:0.212935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. Simplificar los factores comunes.:@0.305399:0.246010:0.571410:0.246010:0.571410:0.229577:0.305399:0.229577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. Tener en cuenta los coeficientes en el momento de la simplificación.:@0.305399:0.262652:0.830238:0.262652:0.830238:0.246218:0.305399:0.246218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.293652:0.301220:0.369434:0.301220:0.369434:0.284550:0.293652:0.284550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplifica :@0.293652:0.334032:0.367557:0.334032:0.367557:0.317598:0.293652:0.317598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.393752:0.326899:0.402735:0.326899:0.402735:0.310465:0.393752:0.310465:0.000000
a:@0.402661:0.326899:0.411920:0.326899:0.411920:0.310492:0.402661:0.310492:0.000000
2:@0.411846:0.320835:0.417083:0.320835:0.417083:0.311254:0.411846:0.311254:0.000000
8:@0.370623:0.340874:0.379605:0.340874:0.379605:0.324440:0.370623:0.324440:0.000000
ab:@0.379532:0.340874:0.397976:0.340874:0.397976:0.324468:0.379532:0.324468:0.000000:0.000000
1:@0.397920:0.340319:0.413254:0.340319:0.413254:0.326604:0.397920:0.326604:0.000000
12:@0.413162:0.340874:0.431054:0.340874:0.431054:0.324440:0.413162:0.324440:0.000000:0.000000
a:@0.430962:0.340874:0.440220:0.340874:0.440220:0.324468:0.430962:0.324468:0.000000
El numerador es un monomio. En el denominador hay un factor común y al factorizar, :@0.293662:0.364977:0.930542:0.364977:0.930542:0.348543:0.293662:0.348543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos::@0.293662:0.381619:0.381183:0.381619:0.381183:0.365185:0.293662:0.365185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.463591:0.407296:0.472574:0.407296:0.472574:0.390862:0.463591:0.390862:0.000000
a:@0.472500:0.407296:0.481759:0.407296:0.481759:0.390890:0.472500:0.390890:0.000000
2:@0.481685:0.401232:0.486922:0.401232:0.486922:0.391651:0.481685:0.391651:0.000000
4 (2:@0.440252:0.421270:0.472134:0.421270:0.472134:0.404837:0.440252:0.404837:0.000000:0.000000:0.000000:0.000000
a b:@0.449161:0.421270:0.481300:0.421270:0.481300:0.404864:0.449161:0.404864:0.000000:0.000000:0.000000
1:@0.481227:0.420716:0.496560:0.420716:0.496560:0.407000:0.481227:0.407000:0.000000
3):@0.496468:0.421270:0.510255:0.421270:0.510255:0.404837:0.496468:0.404837:0.000000:0.000000
 al simplificar 4 , obtenemos: :@0.515722:0.414433:0.729809:0.414433:0.729809:0.398000:0.515722:0.398000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.622061:0.414433:0.631319:0.414433:0.631319:0.398027:0.622061:0.398027:0.000000
a:@0.753137:0.407296:0.762396:0.407296:0.762396:0.390890:0.753137:0.390890:0.000000
2:@0.736607:0.421275:0.745590:0.421275:0.745590:0.404842:0.736607:0.404842:0.000000
b:@0.745516:0.421275:0.754775:0.421275:0.754775:0.404869:0.745516:0.404869:0.000000
1:@0.754702:0.420721:0.770035:0.420721:0.770035:0.407005:0.754702:0.407005:0.000000
3:@0.769943:0.421275:0.778926:0.421275:0.778926:0.404842:0.769943:0.404842:0.000000
Ejemplo 4:@0.293655:0.441800:0.369438:0.441800:0.369438:0.425131:0.293655:0.425131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplifica :@0.293655:0.474613:0.367560:0.474613:0.367560:0.458179:0.293655:0.458179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.390877:0.467477:0.398332:0.467477:0.398332:0.451071:0.390877:0.451071:0.000000
2:@0.398265:0.461413:0.403502:0.461413:0.403502:0.451832:0.398265:0.451832:0.000000
2:@0.403456:0.466922:0.418789:0.466922:0.418789:0.453206:0.403456:0.453206:0.000000
4:@0.418697:0.467477:0.427680:0.467477:0.427680:0.451043:0.418697:0.451043:0.000000
x:@0.379343:0.481456:0.386797:0.481456:0.386797:0.465050:0.379343:0.465050:0.000000
2:@0.386737:0.475388:0.391974:0.475388:0.391974:0.465807:0.386737:0.465807:0.000000
1 2:@0.391926:0.480897:0.430324:0.480897:0.430324:0.467182:0.391926:0.467182:0.000000:0.000000:0.000000
x 6:@0.407168:0.481452:0.439215:0.481452:0.439215:0.465018:0.407168:0.465018:0.000000:0.000000:0.000000
Al factorizar numerador (diferencia de cuadrados) y denominador (trinomio de la forma :@0.293668:0.501977:0.931454:0.501977:0.931454:0.485543:0.293668:0.485543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.293668:0.518619:0.301565:0.518619:0.301565:0.502185:0.293668:0.502185:0.000000
2:@0.301475:0.512554:0.306712:0.512554:0.306712:0.502973:0.301475:0.502973:0.000000
1 1:@0.306666:0.518063:0.353659:0.518063:0.353659:0.504347:0.306666:0.504347:0.000000:0.000000:0.000000
bx c:@0.321907:0.518618:0.361225:0.518618:0.361225:0.502211:0.321907:0.502211:0.000000:0.000000:0.000000:0.000000
 obtenemos::@0.361151:0.518618:0.452630:0.518618:0.452630:0.502184:0.361151:0.502184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.386709:0.544300:0.391587:0.544300:0.391587:0.527866:0.386709:0.527866:0.000000
x:@0.391476:0.544300:0.398931:0.544300:0.398931:0.527894:0.391476:0.527894:0.000000
1:@0.398839:0.543745:0.414172:0.543745:0.414172:0.530030:0.398839:0.530030:0.000000
2)(:@0.414044:0.544300:0.432561:0.544300:0.432561:0.527866:0.414044:0.527866:0.000000:0.000000:0.000000
x:@0.432451:0.544300:0.439906:0.544300:0.439906:0.527894:0.432451:0.527894:0.000000
2:@0.439814:0.543745:0.455147:0.543745:0.455147:0.530030:0.439814:0.530030:0.000000
2):@0.455018:0.544300:0.468768:0.544300:0.468768:0.527866:0.455018:0.527866:0.000000:0.000000
(:@0.386709:0.558279:0.391587:0.558279:0.391587:0.541846:0.386709:0.541846:0.000000
x:@0.391421:0.558279:0.398876:0.558279:0.398876:0.541873:0.391421:0.541873:0.000000
1:@0.398747:0.557725:0.414080:0.557725:0.414080:0.544009:0.398747:0.544009:0.000000
3)(x 2):@0.413896:0.558279:0.468759:0.558279:0.468759:0.541846:0.413896:0.541846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.439911:0.557725:0.455245:0.557725:0.455245:0.544009:0.439911:0.544009:0.000000
 al simplificar, cancelando (:@0.471051:0.550541:0.664487:0.550541:0.664487:0.534107:0.471051:0.534107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.664217:0.550541:0.671671:0.550541:0.671671:0.534135:0.664217:0.534135:0.000000
2:@0.671598:0.549986:0.686931:0.549986:0.686931:0.536270:0.671598:0.536270:0.000000
2), obtenemos :@0.686839:0.550541:0.795987:0.550541:0.795987:0.534107:0.686839:0.534107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.800231:0.544300:0.807686:0.544300:0.807686:0.527894:0.800231:0.527894:0.000000
1:@0.807612:0.543745:0.822946:0.543745:0.822946:0.530030:0.807612:0.530030:0.000000
2:@0.822854:0.544300:0.831836:0.544300:0.831836:0.527866:0.822854:0.527866:0.000000
x:@0.800231:0.558279:0.807686:0.558279:0.807686:0.541873:0.800231:0.541873:0.000000
1:@0.807612:0.557725:0.822946:0.557725:0.822946:0.544009:0.807612:0.544009:0.000000
3:@0.822854:0.558279:0.831836:0.558279:0.831836:0.541846:0.822854:0.541846:0.000000
Ejemplo 5 :@0.293645:0.577903:0.373330:0.577903:0.373330:0.561233:0.293645:0.561233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplifica :@0.293645:0.609827:0.367550:0.609827:0.367550:0.593394:0.293645:0.593394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.371372:0.603588:0.380355:0.603588:0.380355:0.587154:0.371372:0.587154:0.000000
x:@0.380281:0.603588:0.387736:0.603588:0.387736:0.587182:0.380281:0.587182:0.000000
2:@0.387663:0.597524:0.392899:0.597524:0.392899:0.587943:0.387663:0.587943:0.000000
2 2:@0.392852:0.603033:0.439717:0.603033:0.439717:0.589318:0.392852:0.589318:0.000000:0.000000:0.000000
5:@0.408093:0.603588:0.417076:0.603588:0.417076:0.587154:0.408093:0.587154:0.000000
x:@0.417002:0.603588:0.424457:0.603588:0.424457:0.587182:0.417002:0.587182:0.000000
3:@0.439625:0.603588:0.448607:0.603588:0.448607:0.587154:0.439625:0.587154:0.000000
2:@0.371150:0.617567:0.380132:0.617567:0.380132:0.601133:0.371150:0.601133:0.000000
x:@0.380059:0.617567:0.387514:0.617567:0.387514:0.601161:0.380059:0.601161:0.000000
2:@0.387448:0.611500:0.392685:0.611500:0.392685:0.601919:0.387448:0.601919:0.000000
1 1:@0.392639:0.617009:0.439928:0.617009:0.439928:0.603293:0.392639:0.603293:0.000000:0.000000:0.000000
7x 3:@0.407880:0.617563:0.448818:0.617563:0.448818:0.601130:0.407880:0.601130:0.000000:0.000000:0.000000:0.000000
Al factorizar numerador y denominador (ambos son trinomios de la forma :@0.293660:0.637193:0.841311:0.637193:0.841311:0.620759:0.293660:0.620759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.842104:0.637193:0.858809:0.637193:0.858809:0.620787:0.842104:0.620787:0.000000:0.000000
2:@0.858796:0.631129:0.864033:0.631129:0.864033:0.621548:0.858796:0.621548:0.000000
1 1:@0.864027:0.636638:0.911205:0.636638:0.911205:0.622923:0.864027:0.622923:0.000000:0.000000:0.000000
bx c:@0.879342:0.637193:0.918844:0.637193:0.918844:0.620787:0.879342:0.620787:0.000000:0.000000:0.000000:0.000000
), :@0.918826:0.637193:0.930919:0.637193:0.930919:0.620759:0.918826:0.620759:0.000000:0.000000:0.000000
obtenemos::@0.293642:0.653835:0.381163:0.653835:0.381163:0.637401:0.293642:0.637401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2:@0.377716:0.679518:0.391503:0.679518:0.391503:0.663084:0.377716:0.663084:0.000000:0.000000
x:@0.391411:0.679518:0.398866:0.679518:0.398866:0.663112:0.391411:0.663112:0.000000
1:@0.398792:0.678963:0.414126:0.678963:0.414126:0.665247:0.398792:0.665247:0.000000
1)(:@0.414034:0.679518:0.432625:0.679518:0.432625:0.663084:0.414034:0.663084:0.000000:0.000000:0.000000
x:@0.432533:0.679518:0.439988:0.679518:0.439988:0.663112:0.432533:0.663112:0.000000
2:@0.439914:0.678963:0.455247:0.678963:0.455247:0.665247:0.439914:0.665247:0.000000
3):@0.455155:0.679518:0.468942:0.679518:0.468942:0.663084:0.455155:0.663084:0.000000:0.000000
(2:@0.377698:0.693497:0.391485:0.693497:0.391485:0.677063:0.377698:0.677063:0.000000:0.000000
x:@0.391393:0.693497:0.398848:0.693497:0.398848:0.677091:0.391393:0.677091:0.000000
1:@0.398774:0.692942:0.414107:0.692942:0.414107:0.679226:0.398774:0.679226:0.000000
1)(:@0.414015:0.693497:0.432606:0.693497:0.432606:0.677063:0.414015:0.677063:0.000000:0.000000:0.000000
x:@0.432514:0.693497:0.439969:0.693497:0.439969:0.677091:0.432514:0.677091:0.000000
1:@0.439896:0.692942:0.455229:0.692942:0.455229:0.679226:0.439896:0.679226:0.000000
3):@0.455137:0.693497:0.468924:0.693497:0.468924:0.677063:0.455137:0.677063:0.000000:0.000000
 al simplificar, cancelando (2x 1), obtenemos :@0.474612:0.685758:0.808880:0.685758:0.808880:0.669324:0.474612:0.669324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.684491:0.685204:0.699825:0.685204:0.699825:0.671488:0.684491:0.671488:0.000000
x:@0.811118:0.679518:0.818573:0.679518:0.818573:0.663112:0.811118:0.663112:0.000000
2:@0.818499:0.678963:0.833833:0.678963:0.833833:0.665247:0.818499:0.665247:0.000000
3:@0.833741:0.679518:0.842723:0.679518:0.842723:0.663084:0.833741:0.663084:0.000000
x:@0.811118:0.693497:0.818573:0.693497:0.818573:0.677091:0.811118:0.677091:0.000000
1:@0.818499:0.692942:0.833833:0.692942:0.833833:0.679226:0.818499:0.679226:0.000000
3:@0.833741:0.693497:0.842723:0.693497:0.842723:0.677063:0.833741:0.677063:0.000000
Ejemplo 6:@0.293660:0.713123:0.369443:0.713123:0.369443:0.696453:0.293660:0.696453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplifica: :@0.293660:0.745047:0.370694:0.745047:0.370694:0.728614:0.293660:0.728614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.464776:0.738805:0.472231:0.738805:0.472231:0.722399:0.464776:0.722399:0.000000
3:@0.472165:0.732742:0.477402:0.732742:0.477402:0.723161:0.472165:0.723161:0.000000
2:@0.477354:0.738251:0.492688:0.738251:0.492688:0.724535:0.477354:0.724535:0.000000
8:@0.492596:0.738805:0.501578:0.738805:0.501578:0.722372:0.492596:0.722372:0.000000
x y :@0.376372:0.752785:0.399662:0.752780:0.399662:0.736373:0.376372:0.736378:0.000000:0.000000:0.000000:0.000000
2:@0.383759:0.746716:0.388995:0.746716:0.388995:0.737135:0.383759:0.737135:0.000000
1  1:@0.399607:0.752225:0.451223:0.752225:0.451223:0.738509:0.399607:0.738509:0.000000:0.000000:0.000000:0.000000
x:@0.419358:0.752780:0.426813:0.752780:0.426813:0.736373:0.419358:0.736373:0.000000
2:@0.426743:0.746716:0.431980:0.746716:0.431980:0.737135:0.426743:0.737135:0.000000
   2    2    4    4:@0.431932:0.752780:0.589995:0.752780:0.589995:0.736346:0.431932:0.736346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.463979:0.752780:0.479036:0.752780:0.479036:0.736373:0.463979:0.736373:0.000000:0.000000
1:@0.482939:0.752225:0.498272:0.752225:0.498272:0.738509:0.482939:0.738509:0.000000
x:@0.511028:0.752780:0.518483:0.752780:0.518483:0.736373:0.511028:0.736373:0.000000
1:@0.522367:0.752225:0.537700:0.752225:0.537700:0.738509:0.522367:0.738509:0.000000
y:@0.550456:0.752780:0.557930:0.752780:0.557930:0.736373:0.550456:0.736373:0.000000
1:@0.561814:0.752225:0.577147:0.752225:0.577147:0.738509:0.561814:0.738509:0.000000
Al factorizar el numerador (diferencia de cubos) y el denominador (factor común por :@0.293657:0.775981:0.931214:0.775981:0.931214:0.759547:0.293657:0.759547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agrupación), obtenemos::@0.293657:0.792623:0.475984:0.792623:0.475984:0.776189:0.293657:0.776189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(x 2)(x:@0.296031:0.818308:0.350296:0.818308:0.350296:0.801874:0.296031:0.801874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.308640:0.817753:0.323974:0.817753:0.323974:0.804038:0.308640:0.804038:0.000000
2:@0.350199:0.812244:0.355436:0.812244:0.355436:0.802663:0.350199:0.802663:0.000000
2 1:@0.355390:0.817753:0.402255:0.817753:0.402255:0.804038:0.355390:0.804038:0.000000:0.000000:0.000000
2:@0.370631:0.818308:0.379614:0.818308:0.379614:0.801874:0.370631:0.801874:0.000000
x:@0.379540:0.818308:0.386995:0.818308:0.386995:0.801902:0.379540:0.801902:0.000000
4):@0.402163:0.818308:0.415950:0.818308:0.415950:0.801874:0.402163:0.801874:0.000000:0.000000
( +2:@0.296026:0.832287:0.333288:0.832283:0.333288:0.815850:0.296026:0.815853:0.000000:0.000000:0.000000:0.000000
x:@0.300831:0.832287:0.308286:0.832287:0.308286:0.815881:0.300831:0.815881:0.000000
2:@0.308217:0.826219:0.313454:0.826219:0.313454:0.816639:0.308217:0.816639:0.000000
x:@0.333196:0.832283:0.340650:0.832283:0.340650:0.815877:0.333196:0.815877:0.000000
1:@0.340577:0.831729:0.355910:0.831729:0.355910:0.818013:0.340577:0.818013:0.000000
4)(:@0.355818:0.832283:0.374409:0.832283:0.374409:0.815850:0.355818:0.815850:0.000000:0.000000:0.000000
y:@0.374317:0.832283:0.381791:0.832283:0.381791:0.815877:0.374317:0.815877:0.000000
1:@0.381717:0.831729:0.397050:0.831729:0.397050:0.818013:0.381717:0.818013:0.000000
1):@0.396958:0.832283:0.410745:0.832283:0.410745:0.815850:0.396958:0.815850:0.000000:0.000000
 al simplificar, cancelando (:@0.419268:0.824545:0.612704:0.824545:0.612704:0.808111:0.419268:0.808111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.612434:0.824545:0.619889:0.824545:0.619889:0.808139:0.612434:0.808139:0.000000
2:@0.619835:0.818486:0.625072:0.818486:0.625072:0.808905:0.619835:0.808905:0.000000
1 1:@0.625024:0.823995:0.671889:0.823995:0.671889:0.810280:0.625024:0.810280:0.000000:0.000000:0.000000
2:@0.640265:0.824550:0.649248:0.824550:0.649248:0.808116:0.640265:0.808116:0.000000
x:@0.649174:0.824550:0.656629:0.824550:0.656629:0.808144:0.649174:0.808144:0.000000
4), obtenemos :@0.671797:0.824550:0.780945:0.824550:0.780945:0.808116:0.671797:0.808116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.783153:0.818308:0.790607:0.818308:0.790607:0.801902:0.783153:0.801902:0.000000
2:@0.790534:0.817753:0.805867:0.817753:0.805867:0.804038:0.790534:0.804038:0.000000
2:@0.805775:0.818308:0.814758:0.818308:0.814758:0.801874:0.805775:0.801874:0.000000
y:@0.783153:0.832287:0.790626:0.832287:0.790626:0.815881:0.783153:0.815881:0.000000
1:@0.790552:0.831732:0.805885:0.831732:0.805885:0.818017:0.790552:0.818017:0.000000
1:@0.805793:0.832287:0.814776:0.832287:0.814776:0.815853:0.805793:0.815853:0.000000
En la fracción :@0.305401:0.875186:0.405702:0.875186:0.405702:0.858753:0.305401:0.858753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.407894:0.868945:0.439775:0.868945:0.439775:0.852538:0.407894:0.852538:0.000000:0.000000:0.000000
1:@0.415275:0.868390:0.430608:0.868390:0.430608:0.854674:0.415275:0.854674:0.000000
x a:@0.407894:0.882924:0.439775:0.882924:0.439775:0.866518:0.407894:0.866518:0.000000:0.000000:0.000000
1:@0.415275:0.882369:0.430608:0.882369:0.430608:0.868653:0.415275:0.868653:0.000000
 no se puede cancelar la   porque no es un factor aislado.:@0.443880:0.875185:0.857449:0.875185:0.857449:0.858751:0.443880:0.858751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.622835:0.875185:0.630290:0.875185:0.630290:0.858779:0.622835:0.858779:0.000000
DBA 3 (Ev. 2) Propone y ejecuta procedimientos para resolver una ecuación lineal y sistemas de ecuaciones lineales y argumenta la validez o no de un procedimiento.:@0.088268:0.959263:0.903396:0.959263:0.903396:0.947311:0.088268:0.947311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 8 (Ev. 3) Encuentra valores desconocidos en ecuaciones algebraicas.:@0.088268:0.971366:0.470436:0.971366:0.470436:0.959414:0.088268:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 9 (Ev. 3) Representa relaciones numéricas mediante expresiones algebraicas y opera con y sobre variables.:@0.088268:0.983469:0.669798:0.983469:0.669798:0.971518:0.088268:0.971518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000