﻿93:@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
Cocientes notables:@0.095800:0.107742:0.287625:0.107742:0.287625:0.086232:0.095800:0.086232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen ciertas divisiones cuyo cociente puede ser escrito directamente. A este tipo :@0.095800:0.145618:0.716478:0.145618:0.716478:0.129229:0.095800:0.129229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de divisiones se les denomina cocientes notables.:@0.095800:0.162214:0.459536:0.162214:0.459536:0.145826:0.095800:0.145826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La diferencia de dos cuadrados perfectos dividida entre la suma de las raíces es :@0.105298:0.205132:0.707013:0.205132:0.707013:0.188744:0.105298:0.188744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a la diferencia de sus raíces. Y si la división es para la diferencia de sus raíces, :@0.105298:0.221729:0.707069:0.221729:0.707069:0.205340:0.105298:0.205340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cociente es igual a la suma de las raíces.:@0.105298:0.238325:0.413181:0.238325:0.413181:0.221936:0.105298:0.221936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.299090:0.266422:0.309207:0.266422:0.309207:0.250849:0.299090:0.250849:0.000000
+:@0.299090:0.285867:0.309207:0.285867:0.309207:0.270295:0.299090:0.270295:0.000000
=−:@0.333328:0.275384:0.369299:0.275384:0.369299:0.259811:0.333328:0.259811:0.000000:0.000000
−:@0.453679:0.266422:0.463796:0.266422:0.463796:0.250849:0.453679:0.250849:0.000000
−:@0.453679:0.285867:0.463796:0.285867:0.463796:0.270295:0.453679:0.270295:0.000000
=+:@0.487918:0.275384:0.523888:0.275384:0.523888:0.259811:0.487918:0.259811:0.000000:0.000000
a:@0.279722:0.265744:0.288991:0.265744:0.288991:0.249383:0.279722:0.249383:0.000000
b:@0.311971:0.265744:0.321240:0.265744:0.321240:0.249383:0.311971:0.249383:0.000000
ab:@0.287001:0.285190:0.321240:0.285190:0.321240:0.268829:0.287001:0.268829:0.000000:0.000000
ab:@0.347094:0.274706:0.381332:0.274706:0.381332:0.258345:0.347094:0.258345:0.000000:0.000000
a:@0.434312:0.265744:0.443581:0.265744:0.443581:0.249383:0.434312:0.249383:0.000000
b:@0.466560:0.265744:0.475829:0.265744:0.475829:0.249383:0.466560:0.249383:0.000000
ab:@0.441591:0.285190:0.475829:0.285190:0.475829:0.268829:0.441591:0.268829:0.000000:0.000000
ab:@0.501688:0.274713:0.535927:0.274713:0.535927:0.258351:0.501688:0.258351:0.000000:0.000000
2:@0.289561:0.258092:0.294773:0.258092:0.294773:0.248594:0.289561:0.248594:0.000000
2:@0.321814:0.258092:0.327025:0.258092:0.327025:0.248594:0.321814:0.248594:0.000000
2:@0.444149:0.258092:0.449361:0.258092:0.449361:0.248594:0.444149:0.248594:0.000000
2:@0.476401:0.258092:0.481613:0.258092:0.481613:0.248594:0.476401:0.248594:0.000000
 Ejemplo: :@0.095800:0.328881:0.165991:0.328881:0.165991:0.312243:0.095800:0.312243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula el cociente:@0.095800:0.362668:0.233121:0.362668:0.233121:0.346280:0.095800:0.346280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.279350:0.354384:0.289467:0.354384:0.289467:0.338811:0.279350:0.338811:0.000000
+:@0.283847:0.373830:0.293964:0.373830:0.293964:0.358257:0.283847:0.358257:0.000000
x:@0.259876:0.353706:0.267339:0.353706:0.267339:0.337345:0.259876:0.337345:0.000000
y z:@0.312376:0.353706:0.335332:0.353706:0.335332:0.337345:0.312376:0.337345:0.000000:0.000000:0.000000
x:@0.265215:0.373152:0.272678:0.373152:0.272678:0.356791:0.265215:0.356791:0.000000
yz:@0.307359:0.373152:0.321880:0.373152:0.321880:0.356791:0.307359:0.356791:0.000000:0.000000
25:@0.241240:0.353706:0.259023:0.353706:0.259023:0.337318:0.241240:0.337318:0.000000:0.000000
64:@0.292598:0.353706:0.310381:0.353706:0.310381:0.337318:0.292598:0.337318:0.000000:0.000000
5:@0.255374:0.373152:0.264367:0.373152:0.264367:0.356763:0.255374:0.356763:0.000000
8:@0.296726:0.373152:0.305719:0.373152:0.305719:0.356763:0.296726:0.356763:0.000000
4:@0.269405:0.346044:0.274616:0.346044:0.274616:0.336546:0.269405:0.336546:0.000000
2 6:@0.321489:0.346044:0.342202:0.346044:0.342202:0.336546:0.321489:0.336546:0.000000:0.000000:0.000000
2:@0.274325:0.365493:0.279536:0.365493:0.279536:0.355995:0.274325:0.355995:0.000000
3:@0.323323:0.365493:0.328535:0.365493:0.328535:0.355995:0.323323:0.355995:0.000000
Como 25:@0.095800:0.410277:0.165684:0.409517:0.165684:0.393128:0.095800:0.393889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.186009:0.410194:0.196126:0.410194:0.196126:0.394622:0.186009:0.394622:0.000000
x:@0.166531:0.409517:0.173995:0.409517:0.173995:0.393156:0.166531:0.393156:0.000000
y z:@0.219032:0.409517:0.241993:0.409517:0.241993:0.393156:0.219032:0.393156:0.000000:0.000000:0.000000
64:@0.199259:0.409517:0.217042:0.409517:0.217042:0.393128:0.199259:0.393128:0.000000:0.000000
4:@0.176062:0.401855:0.181274:0.401855:0.181274:0.392356:0.176062:0.392356:0.000000
2 6:@0.228157:0.401855:0.248859:0.401855:0.248859:0.392356:0.228157:0.392356:0.000000:0.000000:0.000000
 es la diferencia de dos cuadrados perfectos y 5:@0.252495:0.410277:0.603496:0.409020:0.603496:0.392631:0.252495:0.393889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.622982:0.409697:0.633099:0.409697:0.633099:0.394124:0.622982:0.394124:0.000000
x:@0.604345:0.409020:0.611808:0.409020:0.611808:0.392659:0.604345:0.392659:0.000000
yz:@0.646489:0.409020:0.661007:0.409020:0.661007:0.392659:0.646489:0.392659:0.000000:0.000000
8:@0.635855:0.409020:0.644848:0.409020:0.644848:0.392631:0.635855:0.392631:0.000000
2:@0.613454:0.401359:0.618665:0.401359:0.618665:0.391861:0.613454:0.391861:0.000000
3:@0.662452:0.401359:0.667663:0.401359:0.667663:0.391861:0.662452:0.391861:0.000000
es la :@0.680034:0.410277:0.716539:0.410277:0.716539:0.393889:0.680034:0.393889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma de sus raíces, el cociente es::@0.095804:0.426874:0.342602:0.426874:0.342602:0.410485:0.095804:0.410485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.137995:0.459505:0.148112:0.459505:0.148112:0.443932:0.137995:0.443932:0.000000
+:@0.142492:0.478950:0.152608:0.478950:0.152608:0.463377:0.142492:0.463377:0.000000
=:@0.207357:0.468453:0.217474:0.468453:0.217474:0.452880:0.207357:0.452880:0.000000
−:@0.249243:0.468453:0.259360:0.468453:0.259360:0.452880:0.249243:0.452880:0.000000
x:@0.118517:0.458813:0.125981:0.458813:0.125981:0.442452:0.118517:0.442452:0.000000
y z:@0.171018:0.458813:0.193979:0.458813:0.193979:0.442452:0.171018:0.442452:0.000000:0.000000:0.000000
x:@0.123861:0.478258:0.131325:0.478258:0.131325:0.461897:0.123861:0.461897:0.000000
yz:@0.166005:0.478258:0.180526:0.478258:0.180526:0.461897:0.166005:0.461897:0.000000:0.000000
x:@0.230604:0.467785:0.238067:0.467785:0.238067:0.451424:0.230604:0.451424:0.000000
yz:@0.272748:0.467785:0.287266:0.467785:0.287266:0.451424:0.272748:0.451424:0.000000:0.000000
25:@0.099875:0.458823:0.117658:0.458823:0.117658:0.442434:0.099875:0.442434:0.000000:0.000000
64:@0.151233:0.458823:0.169016:0.458823:0.169016:0.442434:0.151233:0.442434:0.000000:0.000000
5:@0.114009:0.478268:0.123002:0.478268:0.123002:0.461880:0.114009:0.461880:0.000000
8:@0.155361:0.478268:0.164354:0.478268:0.164354:0.461880:0.155361:0.461880:0.000000
5:@0.220762:0.467785:0.229755:0.467785:0.229755:0.451396:0.220762:0.451396:0.000000
8:@0.262114:0.467785:0.271107:0.467785:0.271107:0.451396:0.262114:0.451396:0.000000
4:@0.128049:0.451164:0.133261:0.451164:0.133261:0.441666:0.128049:0.441666:0.000000
2 6:@0.180134:0.451164:0.200842:0.451164:0.200842:0.441666:0.180134:0.441666:0.000000:0.000000:0.000000
2:@0.132962:0.470610:0.138174:0.470610:0.138174:0.461111:0.132962:0.461111:0.000000
3:@0.181960:0.470610:0.187172:0.470610:0.187172:0.461111:0.181960:0.461111:0.000000
2:@0.239714:0.460123:0.244926:0.460123:0.244926:0.450625:0.239714:0.450625:0.000000
3:@0.288712:0.460123:0.293924:0.460123:0.293924:0.450625:0.288712:0.450625:0.000000
La diferencia de cubos perfectos dividida entre la diferencia de sus raíces cúbicas :@0.105298:0.524712:0.706997:0.524712:0.706997:0.508323:0.105298:0.508323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual al cuadrado de la primera raíz, más el producto de las dos raíces, más el :@0.105298:0.541308:0.706956:0.541308:0.706956:0.524919:0.105298:0.524919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado de la segunda raíz.:@0.105298:0.557905:0.314875:0.557905:0.314875:0.541516:0.105298:0.541516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.339498:0.582641:0.349615:0.582641:0.349615:0.567068:0.339498:0.567068:0.000000
−:@0.339498:0.602089:0.349615:0.602089:0.349615:0.586516:0.339498:0.586516:0.000000
=:@0.373527:0.591608:0.383644:0.591608:0.383644:0.576035:0.373527:0.576035:0.000000
+:@0.406660:0.591608:0.416777:0.591608:0.416777:0.576035:0.406660:0.576035:0.000000
+:@0.441212:0.591608:0.451329:0.591608:0.451329:0.576035:0.441212:0.576035:0.000000
a:@0.320327:0.581968:0.329596:0.581968:0.329596:0.565607:0.320327:0.565607:0.000000
b:@0.352372:0.581968:0.361642:0.581968:0.361642:0.565607:0.352372:0.565607:0.000000
ab:@0.327405:0.601411:0.361643:0.601411:0.361643:0.585050:0.327405:0.585050:0.000000:0.000000
a:@0.387294:0.590930:0.396564:0.590930:0.396564:0.574569:0.387294:0.574569:0.000000
abb:@0.419911:0.590930:0.463364:0.590930:0.463364:0.574569:0.419911:0.574569:0.000000:0.000000:0.000000
3:@0.330181:0.574311:0.335392:0.574311:0.335392:0.564813:0.330181:0.564813:0.000000
3:@0.362219:0.574311:0.367431:0.574311:0.367431:0.564813:0.362219:0.564813:0.000000
2:@0.397142:0.583280:0.402354:0.583280:0.402354:0.573782:0.397142:0.573782:0.000000
2:@0.463943:0.583280:0.469155:0.583280:0.469155:0.573782:0.463943:0.573782:0.000000
Si por el contrario es la suma, tenemos::@0.105298:0.627876:0.390535:0.627876:0.390535:0.611487:0.105298:0.611487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.342897:0.653430:0.352753:0.653430:0.352753:0.638258:0.342897:0.638258:0.000000
+:@0.342897:0.672377:0.352753:0.672377:0.352753:0.657206:0.342897:0.657206:0.000000
=:@0.376049:0.662167:0.385905:0.662167:0.385905:0.646995:0.376049:0.646995:0.000000
−:@0.408328:0.662167:0.418184:0.662167:0.418184:0.646995:0.408328:0.646995:0.000000
+:@0.441989:0.662167:0.451845:0.662167:0.451845:0.646995:0.441989:0.646995:0.000000
a:@0.324230:0.652769:0.333260:0.652769:0.333260:0.636830:0.324230:0.636830:0.000000
b:@0.355450:0.652769:0.364480:0.652769:0.364480:0.636830:0.355450:0.636830:0.000000
ab:@0.331124:0.671714:0.364480:0.671714:0.364480:0.655774:0.331124:0.655774:0.000000:0.000000
a:@0.389462:0.661506:0.398492:0.661506:0.398492:0.645567:0.389462:0.645567:0.000000
abb:@0.421239:0.661506:0.463571:0.661506:0.463571:0.645567:0.421239:0.645567:0.000000:0.000000:0.000000
3:@0.333819:0.645314:0.338896:0.645314:0.338896:0.636061:0.333819:0.636061:0.000000
3:@0.365032:0.645314:0.370110:0.645314:0.370110:0.636061:0.365032:0.636061:0.000000
2:@0.399050:0.654051:0.404127:0.654051:0.404127:0.644798:0.399050:0.644798:0.000000
2:@0.464129:0.654051:0.469207:0.654051:0.469207:0.644798:0.464129:0.644798:0.000000
Ejemplo: :@0.095800:0.710785:0.162637:0.710785:0.162637:0.694147:0.095800:0.694147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula el cociente:@0.095800:0.744572:0.233121:0.744572:0.233121:0.728183:0.095800:0.728183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.288251:0.736287:0.298368:0.736287:0.298368:0.720714:0.288251:0.720714:0.000000
−:@0.279461:0.755732:0.289578:0.755732:0.289578:0.740159:0.279461:0.740159:0.000000
p:@0.269090:0.735609:0.278359:0.735609:0.278359:0.719248:0.269090:0.719248:0.000000
q r:@0.310662:0.735609:0.331075:0.735609:0.331075:0.719248:0.310662:0.719248:0.000000:0.000000:0.000000
p:@0.267371:0.755055:0.276640:0.755055:0.276640:0.738693:0.267371:0.738693:0.000000
qr:@0.301499:0.755055:0.316001:0.755055:0.316001:0.738693:0.301499:0.738693:0.000000:0.000000
216:@0.241240:0.735609:0.267813:0.735609:0.267813:0.719220:0.241240:0.719220:0.000000:0.000000:0.000000
8:@0.301130:0.735609:0.310123:0.735609:0.310123:0.719220:0.301130:0.719220:0.000000
6:@0.257107:0.755055:0.266099:0.755055:0.266099:0.738666:0.257107:0.738666:0.000000
2:@0.292340:0.755055:0.301333:0.755055:0.301333:0.738666:0.292340:0.738666:0.000000
3:@0.278932:0.727947:0.284143:0.727947:0.284143:0.718449:0.278932:0.718449:0.000000
3 9:@0.320134:0.727947:0.337805:0.727947:0.337805:0.718449:0.320134:0.718449:0.000000:0.000000:0.000000
3:@0.317513:0.747392:0.322725:0.747392:0.322725:0.737894:0.317513:0.737894:0.000000
Solución:@0.095800:0.788201:0.159578:0.788201:0.159578:0.771563:0.095800:0.771563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.123755:0.820149:0.133872:0.820149:0.133872:0.804576:0.123755:0.804576:0.000000
p:@0.111663:0.819469:0.120932:0.819469:0.120932:0.803107:0.111663:0.803107:0.000000
qr:@0.145791:0.819469:0.160298:0.819469:0.160298:0.803107:0.145791:0.803107:0.000000:0.000000
6:@0.101402:0.819469:0.110395:0.819469:0.110395:0.803080:0.101402:0.803080:0.000000
2:@0.136636:0.819469:0.145628:0.819469:0.145628:0.803080:0.136636:0.803080:0.000000
3:@0.161816:0.811807:0.167027:0.811807:0.167027:0.802309:0.161816:0.802309:0.000000
 es la diferencia de los cubos perfectos  216:@0.171187:0.819469:0.488913:0.818211:0.488913:0.801822:0.171187:0.803080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.509352:0.818888:0.519469:0.818888:0.519469:0.803315:0.509352:0.803315:0.000000
p:@0.490189:0.818211:0.499458:0.818211:0.499458:0.801850:0.490189:0.801850:0.000000
q r:@0.531762:0.818211:0.552175:0.818211:0.552175:0.801850:0.531762:0.801850:0.000000:0.000000:0.000000
8:@0.522230:0.818211:0.531223:0.818211:0.531223:0.801822:0.522230:0.801822:0.000000
3:@0.500031:0.810550:0.505243:0.810550:0.505243:0.801052:0.500031:0.801052:0.000000
3 9:@0.541233:0.810550:0.558903:0.810550:0.558903:0.801052:0.541233:0.801052:0.000000:0.000000:0.000000
Por lo tanto::@0.095800:0.849228:0.184124:0.849228:0.184124:0.832839:0.095800:0.832839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.755797:0.868874:0.755797:0.863767:0.743715:0.863767:0.743715:0.868874:0.000000
Shutterstock:@0.755797:0.863767:0.755797:0.826049:0.743886:0.826049:0.743886:0.863767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La diferencia de dos :@0.754958:0.172874:0.891573:0.172874:0.891573:0.157975:0.754958:0.157975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencias de exponentes :@0.754958:0.187961:0.927370:0.187961:0.927370:0.173062:0.754958:0.173062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales pares siempre es :@0.754958:0.203049:0.920753:0.203049:0.920753:0.188150:0.754958:0.188150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divisible entre la suma:@0.754958:0.218137:0.903114:0.218137:0.903114:0.203238:0.754958:0.203238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de sus bases.:@0.754958:0.233224:0.841130:0.233224:0.841130:0.218325:0.754958:0.218325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.758271:0.250528:0.764789:0.250528:0.764789:0.236239:0.758271:0.236239:0.000000
y:@0.787676:0.250528:0.794210:0.250528:0.794210:0.236239:0.787676:0.236239:0.000000
x:@0.765128:0.267656:0.771646:0.267656:0.771646:0.253367:0.765128:0.253367:0.000000
y:@0.787804:0.267656:0.794339:0.267656:0.794339:0.253367:0.787804:0.253367:0.000000
4:@0.766457:0.243836:0.771008:0.243836:0.771008:0.235540:0.766457:0.235540:0.000000
4:@0.795856:0.243836:0.800408:0.243836:0.800408:0.235540:0.795856:0.235540:0.000000
−:@0.775372:0.250166:0.784208:0.250166:0.784208:0.235369:0.775372:0.235369:0.000000
+:@0.775227:0.267294:0.784063:0.267294:0.784063:0.252497:0.775227:0.252497:0.000000
=:@0.806595:0.257824:0.815431:0.257824:0.815431:0.243027:0.806595:0.243027:0.000000
x:@0.819744:0.258187:0.826263:0.258187:0.826263:0.243897:0.819744:0.243897:0.000000
3:@0.826268:0.252899:0.830847:0.252899:0.830847:0.244554:0.826268:0.244554:0.000000
 – :@0.830846:0.258181:0.845943:0.258181:0.845943:0.243868:0.830846:0.243868:0.000000:0.000000:0.000000
x y:@0.845943:0.258181:0.863574:0.258181:0.863574:0.243892:0.845943:0.243892:0.000000:0.000000:0.000000
2:@0.852460:0.252899:0.857039:0.252899:0.857039:0.244554:0.852460:0.244554:0.000000
 + :@0.863574:0.258181:0.880216:0.258181:0.880216:0.243868:0.863574:0.243868:0.000000:0.000000:0.000000
xy:@0.880216:0.258181:0.893446:0.258181:0.893446:0.243892:0.880216:0.243892:0.000000:0.000000
2:@0.893445:0.252899:0.898024:0.252899:0.898024:0.244554:0.893445:0.244554:0.000000
 – :@0.898023:0.258181:0.913120:0.258181:0.913120:0.243868:0.898023:0.243868:0.000000:0.000000:0.000000
y:@0.913120:0.258181:0.919654:0.258181:0.919654:0.243892:0.913120:0.243892:0.000000
3:@0.919654:0.252899:0.924233:0.252899:0.924233:0.244554:0.919654:0.244554:0.000000
La suma de potencias :@0.754958:0.289179:0.903617:0.289179:0.903617:0.274280:0.754958:0.274280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de exponentes iguales :@0.754958:0.304267:0.909246:0.304267:0.909246:0.289368:0.754958:0.289368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impares siempre :@0.754958:0.319354:0.869224:0.319354:0.869224:0.304455:0.754958:0.304455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es divisible, exactamente, :@0.754958:0.334442:0.927571:0.334442:0.927571:0.319543:0.754958:0.319543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre la suma de :@0.754958:0.349530:0.869661:0.349530:0.869661:0.334631:0.754958:0.334631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus bases.:@0.754958:0.364617:0.820223:0.364617:0.820223:0.349718:0.754958:0.349718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.771655:0.385596:0.778433:0.385596:0.778433:0.375162:0.771655:0.375162:0.000000
+:@0.771655:0.398625:0.778433:0.398625:0.778433:0.388191:0.771655:0.388191:0.000000
=:@0.794940:0.391591:0.801719:0.391591:0.801719:0.381158:0.794940:0.381158:0.000000
−:@0.817954:0.391591:0.824732:0.391591:0.824732:0.381158:0.817954:0.381158:0.000000
+:@0.845808:0.391591:0.852586:0.391591:0.852586:0.381158:0.845808:0.381158:0.000000
−:@0.878674:0.391591:0.885453:0.391591:0.885453:0.381158:0.878674:0.381158:0.000000
+:@0.905503:0.391591:0.912282:0.391591:0.912282:0.381158:0.905503:0.381158:0.000000
x:@0.759308:0.385133:0.764309:0.385133:0.764309:0.374171:0.759308:0.374171:0.000000
y:@0.781260:0.385133:0.786273:0.385133:0.786273:0.374171:0.781260:0.374171:0.000000
xy:@0.764049:0.398161:0.786285:0.398161:0.786285:0.387199:0.764049:0.387199:0.000000:0.000000
x:@0.804916:0.391128:0.809917:0.391128:0.809917:0.380166:0.804916:0.380166:0.000000
x yx y:@0.827572:0.391128:0.871205:0.391128:0.871205:0.380166:0.827572:0.380166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.888292:0.391128:0.898181:0.391129:0.898181:0.380167:0.888292:0.380166:0.000000:0.000000
y:@0.915120:0.391129:0.920133:0.391129:0.920133:0.380167:0.915120:0.380167:0.000000
5:@0.765411:0.380016:0.768903:0.380016:0.768903:0.373653:0.765411:0.373653:0.000000
5:@0.787371:0.380016:0.790863:0.380016:0.790863:0.373653:0.787371:0.373653:0.000000
4:@0.811292:0.386010:0.814784:0.386010:0.814784:0.379646:0.811292:0.379646:0.000000
3:@0.833667:0.386010:0.837159:0.386010:0.837159:0.379646:0.833667:0.379646:0.000000
2:@0.861523:0.386010:0.865015:0.386010:0.865015:0.379646:0.861523:0.379646:0.000000
2:@0.872292:0.386010:0.875784:0.386010:0.875784:0.379646:0.872292:0.379646:0.000000
3:@0.899266:0.386009:0.902758:0.386009:0.902758:0.379645:0.899266:0.379645:0.000000
4:@0.921505:0.386009:0.924997:0.386009:0.924997:0.379645:0.921505:0.379645:0.000000
La diferencia de potencias :@0.754958:0.420571:0.932464:0.420571:0.932464:0.405672:0.754958:0.405672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de exponentes iguales :@0.754958:0.435659:0.909246:0.435659:0.909246:0.420760:0.754958:0.420760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pares siempre es divisible, :@0.754958:0.450746:0.930821:0.450746:0.930821:0.435847:0.754958:0.435847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exactamente, entre la :@0.754958:0.465834:0.902411:0.465834:0.902411:0.450935:0.754958:0.450935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencia de sus bases.:@0.754958:0.480921:0.910115:0.480921:0.910115:0.466022:0.754958:0.466022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.760422:0.500489:0.765417:0.500489:0.765417:0.489540:0.760422:0.489540:0.000000
y:@0.782954:0.500489:0.787961:0.500489:0.787961:0.489540:0.782954:0.489540:0.000000
xy:@0.765787:0.513614:0.787961:0.513614:0.787961:0.502664:0.765787:0.502664:0.000000:0.000000
4:@0.766694:0.495362:0.770182:0.495362:0.770182:0.489006:0.766694:0.489006:0.000000
4:@0.789223:0.495362:0.792710:0.495362:0.792710:0.489006:0.789223:0.489006:0.000000
−:@0.773526:0.500212:0.780297:0.500212:0.780297:0.488873:0.773526:0.488873:0.000000
−:@0.773526:0.513336:0.780297:0.513336:0.780297:0.501998:0.773526:0.501998:0.000000
=:@0.797451:0.506080:0.804221:0.506080:0.804221:0.494741:0.797451:0.494741:0.000000
x:@0.807798:0.506357:0.812792:0.506357:0.812792:0.495408:0.807798:0.495408:0.000000
3:@0.812800:0.502307:0.816309:0.502307:0.816309:0.495912:0.812800:0.495912:0.000000
 + :@0.816308:0.506353:0.829060:0.506353:0.829060:0.495385:0.816308:0.495385:0.000000:0.000000:0.000000
x y:@0.829060:0.506353:0.842571:0.506353:0.842571:0.495404:0.829060:0.495404:0.000000:0.000000:0.000000
2:@0.834056:0.502307:0.837564:0.502307:0.837564:0.495912:0.834056:0.495912:0.000000
 + :@0.842571:0.506353:0.855322:0.506353:0.855322:0.495385:0.842571:0.495385:0.000000:0.000000:0.000000
xy:@0.855322:0.506353:0.865460:0.506353:0.865460:0.495404:0.855322:0.495404:0.000000:0.000000
2:@0.865458:0.502307:0.868967:0.502307:0.868967:0.495912:0.865458:0.495912:0.000000
 + :@0.868968:0.506353:0.881720:0.506353:0.881720:0.495385:0.868968:0.495385:0.000000:0.000000:0.000000
y:@0.881720:0.506353:0.886726:0.506353:0.886726:0.495404:0.881720:0.495404:0.000000
3:@0.886727:0.502307:0.890236:0.502307:0.890236:0.495912:0.886727:0.495912:0.000000
Una suma de potencias :@0.754958:0.536876:0.915578:0.536876:0.915578:0.521977:0.754958:0.521977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales pares nunca :@0.754958:0.551964:0.890918:0.551964:0.890918:0.537065:0.754958:0.537065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
será divisible :@0.754958:0.567052:0.843578:0.567052:0.843578:0.552153:0.754958:0.552153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exactamente entre :@0.754958:0.582139:0.884837:0.582139:0.884837:0.567240:0.754958:0.567240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la diferencia de sus bases:@0.754958:0.597227:0.922214:0.597227:0.922214:0.582328:0.754958:0.582328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.758206:0.609429:0.763579:0.609429:0.763579:0.597649:0.758206:0.597649:0.000000
y:@0.782446:0.609429:0.787833:0.609429:0.787833:0.597649:0.782446:0.597649:0.000000
xy:@0.763977:0.623549:0.787833:0.623549:0.787833:0.611769:0.763977:0.611769:0.000000:0.000000
4:@0.764954:0.603912:0.768706:0.603912:0.768706:0.597074:0.764954:0.597074:0.000000
4:@0.789191:0.603912:0.792943:0.603912:0.792943:0.597074:0.789191:0.597074:0.000000
+:@0.772303:0.609130:0.779587:0.609130:0.779587:0.596932:0.772303:0.596932:0.000000
−:@0.772303:0.623250:0.779587:0.623250:0.779587:0.611052:0.772303:0.611052:0.000000
; no es cociente :@0.801526:0.615879:0.909043:0.615879:0.909043:0.600980:0.801526:0.600980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
notable.:@0.754954:0.638510:0.809297:0.638510:0.809297:0.623611:0.754954:0.623611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775823:0.140432:0.883364:0.140432:0.883364:0.123531:0.775823:0.123531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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