79:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.095801:0.155778:0.166158:0.155778:0.166158:0.139140:0.095801:0.139140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtén los productos notables.:@0.095801:0.179497:0.317758:0.179497:0.317758:0.163108:0.095801:0.163108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.095801:0.215774:0.110709:0.215774:0.110709:0.198874:0.095801:0.198874:0.000000:0.000000
+:@0.149070:0.216468:0.159187:0.216468:0.159187:0.200895:0.149070:0.200895:0.000000
−:@0.202990:0.216468:0.213106:0.216468:0.213106:0.200895:0.202990:0.200895:0.000000
x:@0.137719:0.215791:0.145182:0.215791:0.145182:0.199429:0.137719:0.199429:0.000000
x:@0.191638:0.215791:0.199101:0.215791:0.199101:0.199429:0.191638:0.199429:0.000000
(2:@0.121761:0.215791:0.136466:0.215791:0.136466:0.199402:0.121761:0.199402:0.000000:0.000000
3)(2:@0.161970:0.215791:0.190385:0.215791:0.190385:0.199402:0.161970:0.199402:0.000000:0.000000:0.000000:0.000000
4):@0.216626:0.215791:0.231774:0.215791:0.231774:0.199402:0.216626:0.199402:0.000000:0.000000
b)    :@0.337034:0.213276:0.368508:0.213276:0.368508:0.196375:0.337034:0.196375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.387415:0.203304:0.396408:0.203304:0.396408:0.187635:0.387415:0.187635:0.000000
5:@0.387618:0.222639:0.396610:0.222639:0.396610:0.206969:0.387618:0.206969:0.000000
m:@0.398611:0.212183:0.413242:0.212183:0.413242:0.196790:0.398611:0.196790:0.000000
3:@0.427979:0.212183:0.436972:0.212183:0.436972:0.196514:0.427979:0.196514:0.000000
n:@0.436714:0.212183:0.446223:0.212183:0.446223:0.196790:0.436714:0.196790:0.000000
2:@0.467347:0.203303:0.476340:0.203303:0.476340:0.187633:0.467347:0.187633:0.000000
5:@0.467550:0.222638:0.476543:0.222638:0.476543:0.206968:0.467550:0.206968:0.000000
x n:@0.480017:0.212183:0.513502:0.212183:0.513502:0.196790:0.480017:0.196790:0.000000:0.000000:0.000000
Solución:@0.095800:0.246009:0.159578:0.246009:0.159578:0.229371:0.095800:0.229371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.095800:0.270986:0.114523:0.270986:0.114523:0.254085:0.095800:0.254085:0.000000:0.000000:0.000000
+:@0.149075:0.271664:0.159191:0.271664:0.159191:0.256091:0.149075:0.256091:0.000000
−:@0.202994:0.271664:0.213111:0.271664:0.213111:0.256091:0.202994:0.256091:0.000000
=:@0.234505:0.271664:0.244622:0.271664:0.244622:0.256091:0.234505:0.256091:0.000000
+:@0.287374:0.271664:0.297491:0.271664:0.297491:0.256091:0.287374:0.256091:0.000000
−:@0.316490:0.271664:0.326606:0.271664:0.326606:0.256091:0.316490:0.256091:0.000000
+:@0.357749:0.271664:0.367866:0.271664:0.367866:0.256091:0.357749:0.256091:0.000000
−=:@0.395692:0.271664:0.433653:0.271664:0.433653:0.256091:0.395692:0.256091:0.000000:0.000000
−−:@0.467301:0.271664:0.503125:0.271664:0.503125:0.256091:0.467301:0.256091:0.000000:0.000000
x:@0.137705:0.270986:0.145168:0.270986:0.145168:0.254625:0.137705:0.254625:0.000000
x:@0.191624:0.270986:0.199087:0.270986:0.199087:0.254625:0.191624:0.254625:0.000000
x:@0.263455:0.270986:0.270918:0.270986:0.270918:0.254625:0.263455:0.254625:0.000000
x:@0.346379:0.270986:0.353842:0.270986:0.353842:0.254625:0.346379:0.254625:0.000000
x:@0.448671:0.270986:0.456134:0.270986:0.456134:0.254625:0.448671:0.254625:0.000000
x:@0.481657:0.270986:0.489120:0.270986:0.489120:0.254625:0.481657:0.254625:0.000000
(2:@0.121746:0.270986:0.136452:0.270986:0.136452:0.254597:0.121746:0.254597:0.000000:0.000000
3)(2:@0.161955:0.270986:0.190371:0.270986:0.190371:0.254597:0.161955:0.254597:0.000000:0.000000:0.000000:0.000000
4) (2 ):@0.216612:0.270986:0.277884:0.270986:0.277884:0.254597:0.216612:0.254597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(34):@0.299849:0.270986:0.345255:0.270986:0.345255:0.254597:0.299849:0.254597:0.000000:0.000000:0.000000:0.000000
(3)(4)4:@0.370206:0.270986:0.446681:0.270986:0.446681:0.254597:0.370206:0.254597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.504746:0.270986:0.522529:0.270986:0.522529:0.254597:0.504746:0.254597:0.000000:0.000000
2:@0.277854:0.263329:0.283066:0.263329:0.283066:0.253831:0.277854:0.253831:0.000000
2:@0.457785:0.263329:0.462997:0.263329:0.462997:0.253831:0.457785:0.253831:0.000000
b) :@0.095800:0.308310:0.115831:0.308310:0.115831:0.291410:0.095800:0.291410:0.000000:0.000000:0.000000
2:@0.127330:0.303041:0.136323:0.303041:0.136323:0.286652:0.127330:0.286652:0.000000
5:@0.127533:0.322376:0.136525:0.322376:0.136525:0.305987:0.127533:0.305987:0.000000
m:@0.136537:0.311466:0.151629:0.311466:0.157088:0.295077:0.141996:0.295077:0.000000
3:@0.167538:0.311493:0.176531:0.311493:0.176531:0.295104:0.167538:0.295104:0.000000
n:@0.173915:0.311466:0.183792:0.311466:0.189251:0.295077:0.179374:0.295077:0.000000
2:@0.202613:0.303045:0.211605:0.303045:0.211605:0.286656:0.202613:0.286656:0.000000
5:@0.202815:0.322380:0.211808:0.322380:0.211808:0.305991:0.202815:0.305991:0.000000
m n:@0.211295:0.311466:0.251117:0.311466:0.256576:0.295077:0.216754:0.295077:0.000000:0.000000:0.000000
=:@0.262975:0.312170:0.273092:0.312170:0.273092:0.296597:0.262975:0.296597:0.000000
2:@0.284185:0.303042:0.293178:0.303042:0.293178:0.286653:0.284185:0.286653:0.000000
5:@0.284388:0.322377:0.293381:0.322377:0.293381:0.305988:0.284388:0.305988:0.000000
m:@0.293381:0.311466:0.308474:0.311466:0.313933:0.295077:0.298840:0.295077:0.000000
2:@0.405375:0.303045:0.414368:0.303045:0.414368:0.286656:0.405375:0.286656:0.000000
5:@0.405578:0.322380:0.414571:0.322380:0.414571:0.305991:0.405578:0.305991:0.000000
m:@0.414580:0.311466:0.429672:0.311466:0.435131:0.295077:0.420039:0.295077:0.000000
2:@0.318204:0.293380:0.323416:0.293380:0.323416:0.283881:0.318204:0.283881:0.000000
+:@0.326529:0.312170:0.336645:0.312170:0.336645:0.296597:0.326529:0.296597:0.000000
( 3:@0.337935:0.311493:0.362586:0.311493:0.362586:0.295104:0.337935:0.295104:0.000000:0.000000:0.000000
n n:@0.359972:0.311466:0.393459:0.311466:0.398918:0.295077:0.365431:0.295077:0.000000:0.000000:0.000000
):@0.396208:0.311493:0.401092:0.311493:0.401092:0.295104:0.396208:0.295104:0.000000
+:@0.434261:0.312170:0.444378:0.312170:0.444378:0.296597:0.434261:0.296597:0.000000
( 3 )(:@0.445668:0.311493:0.489828:0.311493:0.489828:0.295104:0.445668:0.295104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.467710:0.311466:0.477587:0.311466:0.483046:0.295077:0.473169:0.295077:0.000000
n:@0.498598:0.311466:0.508475:0.311466:0.513935:0.295077:0.504057:0.295077:0.000000
):@0.512899:0.311493:0.517782:0.311493:0.517782:0.295104:0.512899:0.295104:0.000000
=:@0.263831:0.351227:0.273948:0.351227:0.273948:0.335654:0.263831:0.335654:0.000000
4:@0.282056:0.342099:0.291049:0.342099:0.291049:0.325710:0.282056:0.325710:0.000000
25:@0.277859:0.361431:0.295642:0.361431:0.295642:0.345042:0.277859:0.345042:0.000000:0.000000
8:@0.340751:0.342100:0.349744:0.342100:0.349744:0.325711:0.340751:0.325711:0.000000
5:@0.340751:0.361431:0.349744:0.361431:0.349744:0.345042:0.340751:0.345042:0.000000
m:@0.295440:0.350519:0.310532:0.350519:0.315992:0.334130:0.300899:0.334130:0.000000
2:@0.313039:0.342886:0.318251:0.342886:0.318251:0.333388:0.313039:0.333388:0.000000
mn:@0.354250:0.350519:0.379090:0.350519:0.384549:0.334130:0.359709:0.334130:0.000000:0.000000
+:@0.382582:0.351225:0.392699:0.351225:0.392699:0.335652:0.382582:0.335652:0.000000
3:@0.394413:0.350547:0.403405:0.350547:0.403405:0.334158:0.394413:0.334158:0.000000
n:@0.400789:0.350519:0.410667:0.350519:0.416126:0.334130:0.406249:0.334130:0.000000
2:@0.412998:0.342886:0.418209:0.342886:0.418209:0.333388:0.412998:0.333388:0.000000
Binomio al cubo :@0.095800:0.391568:0.264406:0.391568:0.264406:0.370058:0.095800:0.370058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(a +b)³:@0.264406:0.391568:0.331413:0.391568:0.331413:0.369794:0.264406:0.369794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para obtener el resultado de un binomio al cubo, seguiremos estos pasos::@0.095800:0.421477:0.634248:0.421477:0.634248:0.405089:0.095800:0.405089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.095800:0.448765:0.113841:0.448765:0.113841:0.431864:0.095800:0.431864:0.000000:0.000000:0.000000
Descomponemos la potencia en dos factores: :@0.119535:0.448765:0.459116:0.448765:0.459116:0.432376:0.119535:0.432376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.461322:0.450057:0.467458:0.450057:0.467458:0.429656:0.461322:0.429656:0.000000
):@0.503779:0.450057:0.509915:0.450057:0.509915:0.429656:0.503779:0.429656:0.000000
+:@0.480639:0.448185:0.490756:0.448185:0.490756:0.432612:0.480639:0.432612:0.000000
+:@0.535664:0.448185:0.545781:0.448185:0.545781:0.432612:0.535664:0.432612:0.000000
ab:@0.468545:0.447507:0.502784:0.447507:0.502784:0.431146:0.468545:0.431146:0.000000:0.000000
ab:@0.523567:0.447507:0.557805:0.447507:0.557805:0.431146:0.523567:0.431146:0.000000:0.000000
(:@0.517486:0.447507:0.522369:0.447507:0.522369:0.431118:0.517486:0.431118:0.000000
):@0.558800:0.447507:0.563684:0.447507:0.563684:0.431118:0.558800:0.431118:0.000000
2:@0.509798:0.438078:0.515010:0.438078:0.515010:0.428580:0.509798:0.428580:0.000000
2. :@0.095800:0.476053:0.113841:0.476053:0.113841:0.459152:0.095800:0.459152:0.000000:0.000000:0.000000
Desarrollamos el binomio al cuadrado: :@0.119535:0.476053:0.405272:0.476053:0.405272:0.459664:0.119535:0.459664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.407476:0.479609:0.413612:0.479609:0.413612:0.454381:0.407476:0.454381:0.000000
):@0.507833:0.479609:0.513969:0.479609:0.513969:0.454381:0.507833:0.454381:0.000000
+:@0.434071:0.475474:0.444187:0.475474:0.444187:0.459901:0.434071:0.459901:0.000000
+:@0.477412:0.475474:0.487529:0.475474:0.487529:0.459901:0.477412:0.459901:0.000000
+:@0.532437:0.475474:0.542554:0.475474:0.542554:0.459901:0.532437:0.459901:0.000000
a:@0.414703:0.474796:0.423972:0.474796:0.423972:0.458435:0.414703:0.458435:0.000000
abb:@0.456110:0.474796:0.499562:0.474796:0.499562:0.458435:0.456110:0.458435:0.000000:0.000000:0.000000
ab:@0.520345:0.474796:0.554584:0.474796:0.554584:0.458435:0.520345:0.458435:0.000000:0.000000
2:@0.446948:0.474796:0.455941:0.474796:0.455941:0.458407:0.446948:0.458407:0.000000
(:@0.514264:0.474796:0.519148:0.474796:0.519148:0.458407:0.514264:0.458407:0.000000
):@0.555579:0.474796:0.560462:0.474796:0.560462:0.458407:0.555579:0.458407:0.000000
2:@0.424543:0.467135:0.429755:0.467135:0.429755:0.457637:0.424543:0.457637:0.000000
2:@0.500134:0.467135:0.505346:0.467135:0.505346:0.457637:0.500134:0.457637:0.000000
3. :@0.095800:0.503342:0.113841:0.503342:0.113841:0.486441:0.095800:0.486441:0.000000:0.000000:0.000000
Multiplicamos aplicando la propiedad distributiva::@0.119535:0.503342:0.486317:0.503342:0.486317:0.486953:0.119535:0.486953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.178253:0.532565:0.147700:0.532565:0.147700:0.516992:0.178253:0.516992:0.000000
+:@0.218923:0.532565:0.188370:0.532565:0.188370:0.516992:0.218923:0.516992:0.000000
+:@0.268401:0.532565:0.227897:0.532565:0.227897:0.516992:0.268401:0.516992:0.000000
+:@0.319022:0.532565:0.278518:0.532565:0.278518:0.516992:0.319022:0.516992:0.000000
+:@0.360852:0.532565:0.370969:0.532565:0.370969:0.516992:0.360852:0.516992:0.000000
a:@0.159088:0.531887:0.168357:0.531887:0.168357:0.515526:0.159088:0.515526:0.000000
a b:@0.191503:0.531887:0.216103:0.531887:0.216103:0.515526:0.191503:0.515526:0.000000:0.000000:0.000000
a b:@0.240962:0.531887:0.265582:0.531887:0.265582:0.515526:0.240962:0.515526:0.000000:0.000000:0.000000
ab:@0.290440:0.531887:0.308923:0.531887:0.308923:0.515526:0.290440:0.515526:0.000000:0.000000
ab:@0.332271:0.531887:0.350754:0.531887:0.350754:0.515526:0.332271:0.515526:0.000000:0.000000
b:@0.373733:0.531887:0.383003:0.531887:0.383003:0.515526:0.373733:0.515526:0.000000
2:@0.231804:0.531887:0.240796:0.531887:0.240796:0.515498:0.231804:0.515498:0.000000
2:@0.281282:0.531887:0.290275:0.531887:0.290275:0.515498:0.281282:0.515498:0.000000
3:@0.168935:0.524226:0.174147:0.524226:0.174147:0.514728:0.168935:0.514728:0.000000
2:@0.201337:0.524226:0.206549:0.524226:0.206549:0.514728:0.201337:0.514728:0.000000
2:@0.250816:0.524226:0.256028:0.524226:0.256028:0.514728:0.250816:0.514728:0.000000
2:@0.309501:0.524226:0.314713:0.524226:0.314713:0.514728:0.309501:0.514728:0.000000
2:@0.351327:0.524226:0.356539:0.524226:0.356539:0.514728:0.351327:0.514728:0.000000
3:@0.383580:0.524226:0.388791:0.524226:0.388791:0.514728:0.383580:0.514728:0.000000
4. :@0.095800:0.561690:0.113841:0.561690:0.113841:0.544790:0.095800:0.544790:0.000000:0.000000:0.000000
Reducimos términos semejantes::@0.119535:0.561690:0.361801:0.561690:0.361801:0.545301:0.119535:0.545301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.387986:0.562368:0.349049:0.562368:0.349049:0.546795:0.387986:0.546795:0.000000
+:@0.437041:0.562368:0.398103:0.562368:0.398103:0.546795:0.437041:0.546795:0.000000
+:@0.487238:0.562368:0.497354:0.562368:0.497354:0.546795:0.487238:0.546795:0.000000
a:@0.368822:0.561690:0.378091:0.561690:0.378091:0.545329:0.368822:0.545329:0.000000
a b:@0.409602:0.561690:0.434203:0.561690:0.434203:0.545329:0.409602:0.545329:0.000000:0.000000:0.000000
ab:@0.458656:0.561690:0.477139:0.561690:0.477139:0.545329:0.458656:0.545329:0.000000:0.000000
b:@0.500119:0.561690:0.509388:0.561690:0.509388:0.545329:0.500119:0.545329:0.000000
3:@0.400867:0.561690:0.409860:0.561690:0.409860:0.545301:0.400867:0.545301:0.000000
3:@0.449922:0.561690:0.458914:0.561690:0.458914:0.545301:0.449922:0.545301:0.000000
3:@0.378669:0.554029:0.383880:0.554029:0.383880:0.544531:0.378669:0.544531:0.000000
2:@0.419454:0.554029:0.424666:0.554029:0.424666:0.544531:0.419454:0.544531:0.000000
2:@0.477717:0.554029:0.482929:0.554029:0.482929:0.544531:0.477717:0.544531:0.000000
3:@0.509970:0.554029:0.515181:0.554029:0.515181:0.544531:0.509970:0.544531:0.000000
Un binomio al cubo es igual al cubo del primer término más el triple producto :@0.105298:0.597012:0.707335:0.597012:0.707335:0.579878:0.105298:0.579878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del cuadrado del primer término con el segundo término, más el triple del :@0.105298:0.614363:0.707140:0.614363:0.707140:0.597229:0.105298:0.597229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primer término con el cuadrado del segundo término y más el cubo del :@0.105298:0.631713:0.707275:0.631713:0.707275:0.614579:0.105298:0.614579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo término. :@0.105298:0.649064:0.246416:0.649064:0.246416:0.631930:0.105298:0.631930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(a + b)3   a3 +  a2b +  ab2 + b3:@0.165598:0.673543:0.394161:0.673543:0.394161:0.656438:0.165598:0.656438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.225609:0.673543:0.241310:0.673543:0.241310:0.656409:0.225609:0.656409:0.000000:0.000000
3:@0.274485:0.673543:0.283887:0.673543:0.283887:0.656409:0.274485:0.656409:0.000000
3:@0.326944:0.673543:0.336346:0.673543:0.336346:0.656409:0.326944:0.656409:0.000000
Si el binomio tiene signo negativo, los signos van alternados:  :@0.105298:0.698022:0.577969:0.698022:0.577969:0.680888:0.105298:0.680888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(a – b)3  a3 –  a2b +  ab2 – b3:@0.165598:0.722501:0.385145:0.722501:0.385145:0.705396:0.165598:0.705396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.220292:0.722501:0.235993:0.722501:0.235993:0.705367:0.220292:0.705367:0.000000:0.000000
3:@0.267319:0.722501:0.276720:0.722501:0.276720:0.705367:0.267319:0.705367:0.000000
3:@0.319778:0.722501:0.329179:0.722501:0.329179:0.705367:0.319778:0.705367:0.000000
Ejemplo::@0.095800:0.757477:0.159283:0.757477:0.159283:0.740839:0.095800:0.740839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve  5x −:@0.095800:0.787240:0.209941:0.788153:0.209941:0.772483:0.095800:0.770851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.214382:0.779703:0.223375:0.779703:0.223375:0.764033:0.214382:0.764033:0.000000
5:@0.213811:0.799037:0.222804:0.799037:0.222804:0.783368:0.213811:0.783368:0.000000
y:@0.224475:0.788124:0.232584:0.788124:0.237803:0.772454:0.229695:0.772454:0.000000
3:@0.244326:0.770037:0.249538:0.770037:0.249538:0.760956:0.244326:0.760956:0.000000
Solución:@0.095800:0.825217:0.159578:0.825217:0.159578:0.808579:0.095800:0.808579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5x −:@0.228553:0.856888:0.258848:0.856888:0.258848:0.841219:0.228553:0.841219:0.000000:0.000000:0.000000:0.000000
1:@0.263363:0.848009:0.272355:0.848009:0.272355:0.832340:0.263363:0.832340:0.000000
5:@0.262792:0.867344:0.271784:0.867344:0.271784:0.851674:0.262792:0.851674:0.000000
y:@0.275048:0.856881:0.282530:0.856881:0.282530:0.840520:0.275048:0.840520:0.000000
3:@0.293685:0.838611:0.298897:0.838611:0.298897:0.829529:0.293685:0.829529:0.000000
5x −:@0.228560:0.895675:0.258856:0.895675:0.258856:0.880005:0.228560:0.880005:0.000000:0.000000:0.000000:0.000000
1:@0.263370:0.886796:0.272363:0.886796:0.272363:0.871126:0.263370:0.871126:0.000000
5:@0.262799:0.906127:0.271792:0.906127:0.271792:0.890457:0.262799:0.890457:0.000000
y:@0.275048:0.895675:0.282530:0.895675:0.282530:0.879314:0.275048:0.879314:0.000000
3:@0.293685:0.877405:0.298897:0.877405:0.298897:0.868323:0.293685:0.868323:0.000000
=:@0.303318:0.857558:0.313435:0.857558:0.313435:0.841986:0.303318:0.841986:0.000000
5:@0.323054:0.856881:0.332047:0.856881:0.332047:0.841211:0.323054:0.841211:0.000000
x:@0.332894:0.856881:0.340358:0.856881:0.340358:0.840520:0.332894:0.840520:0.000000
( ):@0.316197:0.859429:0.348556:0.859429:0.348556:0.839028:0.316197:0.839028:0.000000:0.000000:0.000000
3:@0.348446:0.847451:0.353657:0.847451:0.353657:0.838369:0.348446:0.838369:0.000000
3 5:@0.369909:0.856881:0.394657:0.856881:0.394657:0.841211:0.369909:0.841211:0.000000:0.000000:0.000000
x:@0.395505:0.856881:0.402968:0.856881:0.402968:0.840520:0.395505:0.840520:0.000000
( ):@0.378809:0.859429:0.411168:0.859429:0.411168:0.839028:0.378809:0.839028:0.000000:0.000000:0.000000
2:@0.411058:0.847451:0.416269:0.847451:0.416269:0.838369:0.411058:0.838369:0.000000
1:@0.430427:0.848000:0.439420:0.848000:0.439420:0.832331:0.430427:0.832331:0.000000
5:@0.429856:0.867335:0.438848:0.867335:0.438848:0.851666:0.429856:0.851666:0.000000
y:@0.442102:0.856881:0.449583:0.856881:0.449583:0.840520:0.442102:0.840520:0.000000
+:@0.462675:0.857558:0.472792:0.857558:0.472792:0.841986:0.462675:0.841986:0.000000
3 5:@0.475243:0.856881:0.499991:0.856881:0.499991:0.841211:0.475243:0.841211:0.000000:0.000000:0.000000
x:@0.500839:0.856881:0.508302:0.856881:0.508302:0.840520:0.500839:0.840520:0.000000
( ):@0.484140:0.859429:0.516499:0.859429:0.516499:0.839028:0.484140:0.839028:0.000000:0.000000:0.000000
1:@0.528586:0.848000:0.537579:0.848000:0.537579:0.832331:0.528586:0.832331:0.000000
5:@0.528015:0.867335:0.537007:0.867335:0.537007:0.851666:0.528015:0.851666:0.000000
y:@0.540261:0.856881:0.547742:0.856881:0.547742:0.840520:0.540261:0.840520:0.000000
2:@0.558898:0.838611:0.564109:0.838611:0.564109:0.829529:0.558898:0.829529:0.000000
+:@0.568006:0.857558:0.578123:0.857558:0.578123:0.841986:0.568006:0.841986:0.000000
1:@0.592146:0.848002:0.601139:0.848002:0.601139:0.832332:0.592146:0.832332:0.000000
5:@0.591575:0.867337:0.600568:0.867337:0.600568:0.851667:0.591575:0.851667:0.000000
y:@0.603814:0.856881:0.611296:0.856881:0.611296:0.840520:0.603814:0.840520:0.000000
3:@0.622451:0.838611:0.627663:0.838611:0.627663:0.829529:0.622451:0.829529:0.000000
=:@0.303079:0.896613:0.313195:0.896613:0.313195:0.881040:0.303079:0.881040:0.000000
125:@0.315222:0.895935:0.341795:0.895935:0.341795:0.880265:0.315222:0.880265:0.000000:0.000000:0.000000
x:@0.342643:0.895935:0.350106:0.895935:0.350106:0.879574:0.342643:0.879574:0.000000
3:@0.351766:0.888274:0.356978:0.888274:0.356978:0.879193:0.351766:0.879193:0.000000
15:@0.372078:0.895935:0.389861:0.895935:0.389861:0.880265:0.372078:0.880265:0.000000:0.000000
x y:@0.390709:0.895935:0.414164:0.895935:0.414164:0.879574:0.390709:0.879574:0.000000:0.000000:0.000000
2:@0.399824:0.888274:0.405035:0.888274:0.405035:0.879193:0.399824:0.879193:0.000000
+:@0.417720:0.896613:0.427837:0.896613:0.427837:0.881040:0.417720:0.881040:0.000000
3:@0.431744:0.887056:0.440736:0.887056:0.440736:0.871386:0.431744:0.871386:0.000000
5:@0.431759:0.906387:0.440751:0.906387:0.440751:0.890717:0.431759:0.890717:0.000000
xy:@0.444008:0.895935:0.458769:0.895935:0.458769:0.879574:0.444008:0.879574:0.000000:0.000000
2:@0.460395:0.888274:0.465607:0.888274:0.465607:0.879193:0.460395:0.879193:0.000000
+:@0.469504:0.896613:0.479620:0.896613:0.479620:0.881040:0.469504:0.881040:0.000000
1:@0.492335:0.887056:0.501328:0.887056:0.501328:0.871386:0.492335:0.871386:0.000000
125:@0.482383:0.906387:0.508955:0.906387:0.508955:0.890717:0.482383:0.890717:0.000000:0.000000:0.000000
y:@0.512222:0.895935:0.519704:0.895935:0.519704:0.879574:0.512222:0.879574:0.000000
3:@0.521332:0.888274:0.526544:0.888274:0.526544:0.879193:0.521332:0.879193:0.000000
El producto notable de dos binomios con un término común se resuelve así: :@0.106135:0.099515:0.669573:0.099515:0.669573:0.083126:0.106135:0.083126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(x+a) (x + b) = x2 + (a + b)x + ab:@0.293489:0.123234:0.515671:0.123234:0.515671:0.106873:0.293489:0.106873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representación geométrica :@0.755005:0.184819:0.942946:0.184819:0.942946:0.169920:0.755005:0.169920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del cubo del binomio:@0.755005:0.199907:0.898891:0.199907:0.898891:0.185008:0.755005:0.185008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(a + b)3:@0.755005:0.214995:0.801157:0.214995:0.801157:0.200121:0.755005:0.200121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.767239:0.270110:0.776028:0.270110:0.776028:0.254608:0.767239:0.254608:0.000000
3:@0.776027:0.264014:0.780830:0.264014:0.780830:0.255015:0.776027:0.255015:0.000000
ab:@0.809864:0.270110:0.827174:0.270110:0.827174:0.254608:0.809864:0.254608:0.000000:0.000000
2:@0.827174:0.264014:0.831976:0.264014:0.831976:0.255015:0.827174:0.255015:0.000000
ab:@0.763903:0.302656:0.781214:0.302656:0.781214:0.287154:0.763903:0.287154:0.000000:0.000000
2:@0.781214:0.296560:0.786016:0.296560:0.786016:0.287561:0.781214:0.287561:0.000000
ab:@0.763902:0.375726:0.781213:0.375726:0.781213:0.360224:0.763902:0.360224:0.000000:0.000000
2:@0.781212:0.369629:0.786014:0.369629:0.786014:0.360630:0.781212:0.360630:0.000000
a b:@0.809862:0.302656:0.832046:0.302656:0.832046:0.287154:0.809862:0.287154:0.000000:0.000000:0.000000
2:@0.818456:0.296560:0.823258:0.296560:0.823258:0.287561:0.818456:0.287561:0.000000
a:@0.814433:0.409570:0.823026:0.409570:0.823026:0.394068:0.814433:0.394068:0.000000
3:@0.823028:0.403473:0.827830:0.403473:0.827830:0.394474:0.823028:0.394474:0.000000
a b:@0.761927:0.412073:0.784111:0.412073:0.784111:0.396571:0.761927:0.396571:0.000000:0.000000:0.000000
2:@0.770519:0.405977:0.775321:0.405977:0.775321:0.396978:0.770519:0.396978:0.000000
a b:@0.807399:0.375728:0.829577:0.375726:0.829577:0.360224:0.807399:0.360225:0.000000:0.000000:0.000000
2:@0.815985:0.369629:0.820787:0.369629:0.820787:0.360630:0.815985:0.360630:0.000000
(a + b)3   a3 +  a2b +  ab2 + b3:@0.755005:0.457465:0.943033:0.457465:0.943033:0.442591:0.755005:0.442591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.803838:0.457465:0.817156:0.457465:0.817156:0.442566:0.803838:0.442566:0.000000:0.000000
3:@0.843993:0.457465:0.852168:0.457465:0.852168:0.442566:0.843993:0.442566:0.000000
3:@0.887265:0.457465:0.895440:0.457465:0.895440:0.442566:0.887265:0.442566:0.000000
     Matemática:@0.775870:0.152379:0.883411:0.152379:0.883411:0.135478:0.775870:0.135478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El hecho de que haya :@0.755006:0.558905:0.901923:0.558905:0.901923:0.544006:0.755006:0.544006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una discapacidad auditiva :@0.755006:0.573993:0.932062:0.573993:0.932062:0.559094:0.755006:0.559094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no significa que el tono :@0.755006:0.589081:0.915074:0.589081:0.915074:0.574182:0.755006:0.574182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de voz con el que se :@0.755006:0.604168:0.894788:0.604168:0.894788:0.589269:0.755006:0.589269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
habla debe ser exagerado :@0.755006:0.619256:0.931325:0.619256:0.931325:0.604357:0.755006:0.604357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o excesivo. Basta con que :@0.755006:0.634344:0.928276:0.634344:0.928276:0.619445:0.755006:0.619445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
haya claridad en el :@0.755006:0.649431:0.882943:0.649431:0.882943:0.634532:0.755006:0.634532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
momento de comunicarse.:@0.755006:0.664519:0.928276:0.664519:0.928276:0.649620:0.755006:0.649620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Necesidades:@0.779788:0.519548:0.874742:0.519548:0.874742:0.502648:0.779788:0.502648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educativas:@0.784882:0.533379:0.866306:0.533379:0.866306:0.516478:0.784882:0.516478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.918620:0.870683:0.918620:0.865576:0.906538:0.865576:0.906538:0.870683:0.000000
Freepik:@0.918620:0.865576:0.918620:0.843926:0.906709:0.843926:0.906709:0.865576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000