20:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Conjuntos numéricos: reales y complejos:@0.073089:0.043661:0.435822:0.043661:0.435822:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2.2 Factorización :@0.294182:0.136959:0.430701:0.136959:0.430701:0.120012:0.294182:0.120012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A continuación, se enlistan las reglas de factorización. La mayoría de estas surge de :@0.294182:0.167898:0.895978:0.167898:0.895978:0.151465:0.294182:0.151465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los productos notables. Escribimos un ejemplo de cada una de ellas.:@0.294182:0.184540:0.792168:0.184540:0.792168:0.168106:0.294182:0.168106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factor común:@0.322675:0.349421:0.322675:0.260099:0.298136:0.260099:0.298136:0.349421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trinomios:@0.322675:0.573770:0.322675:0.508595:0.298136:0.508595:0.298136:0.573770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Binomios:@0.322675:0.823746:0.322675:0.762428:0.298136:0.762428:0.298136:0.823746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factor:@0.407976:0.226476:0.457749:0.226476:0.457749:0.209530:0.407976:0.209530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.457749:0.226476:0.461780:0.226476:0.461780:0.210043:0.457749:0.210043:0.000000 común:@0.461780:0.226476:0.515732:0.226476:0.515732:0.209807:0.461780:0.209807:0.000000:0.000000:0.000000:0.000000:0.000000 monomio:@0.424082:0.240345:0.499626:0.240345:0.499626:0.223675:0.424082:0.223675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factor común:@0.409136:0.297357:0.514591:0.297357:0.514591:0.280687:0.409136:0.280687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 polinomio:@0.420750:0.311225:0.502957:0.311225:0.502957:0.294278:0.420750:0.294278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trinomio cuadrado :@0.389035:0.464274:0.538573:0.464274:0.538573:0.447605:0.389035:0.447605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 perfecto TCP:@0.413111:0.478143:0.510574:0.478143:0.510574:0.461473:0.413111:0.461473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Diferencia de :@0.412394:0.714942:0.515215:0.714942:0.515215:0.698272:0.412394:0.698272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuadrados:@0.422481:0.728810:0.501227:0.728810:0.501227:0.712141:0.422481:0.712141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trinomio de la :@0.407148:0.546097:0.520481:0.546097:0.520481:0.529427:0.407148:0.529427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 forma:@0.399913:0.559965:0.445471:0.559965:0.445471:0.543295:0.399913:0.543295:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.445471:0.559965:0.449503:0.559965:0.449503:0.543531:0.445471:0.543531:0.000000 x 2 + bx +c:@0.449503:0.559965:0.523831:0.559965:0.523831:0.543282:0.449503:0.543282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Suma o diferencia :@0.394796:0.785212:0.532851:0.785212:0.532851:0.768543:0.394796:0.768543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de cubos:@0.427616:0.799095:0.496091:0.799095:0.496091:0.782426:0.427616:0.782426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trinomio de la :@0.407148:0.626478:0.520481:0.626478:0.520481:0.609808:0.407148:0.609808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 forma:@0.395109:0.640346:0.440667:0.640346:0.440667:0.623677:0.395109:0.623677:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.440667:0.640346:0.444698:0.640346:0.444698:0.623912:0.440667:0.623912:0.000000 ax 2 + bx +c:@0.444698:0.640346:0.528634:0.640346:0.528634:0.623663:0.444698:0.623663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Suma o diferencia de :@0.383329:0.872736:0.544337:0.872736:0.544337:0.856066:0.383329:0.856066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 potencias iguales:@0.396821:0.886604:0.526960:0.886604:0.526960:0.869934:0.396821:0.869934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factor común :@0.409154:0.369098:0.522414:0.369098:0.522414:0.352429:0.409154:0.352429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 por agrupación :@0.402914:0.382966:0.524751:0.382966:0.524751:0.366297:0.402914:0.366297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de términos:@0.415817:0.396845:0.507890:0.396845:0.507890:0.380175:0.415817:0.380175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 – 4 + :@0.613386:0.234834:0.705114:0.234834:0.705114:0.216906:0.613386:0.216906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 xy:@0.623185:0.234834:0.639691:0.234834:0.639691:0.216936:0.623185:0.216936:0.000000:0.000000 xz:@0.668326:0.234834:0.684351:0.234834:0.684351:0.216936:0.668326:0.216936:0.000000:0.000000 8x :@0.705114:0.234834:0.726139:0.234834:0.726139:0.216936:0.705114:0.216936:0.000000:0.000000:0.000000 2:@0.724530:0.228219:0.730243:0.228219:0.730243:0.217767:0.724530:0.217767:0.000000 = 2 ( – 2 + 4 ):@0.730243:0.234834:0.862956:0.234834:0.862956:0.216906:0.730243:0.216906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.760806:0.234834:0.782413:0.234834:0.782413:0.216936:0.760806:0.216936:0.000000:0.000000:0.000000 z:@0.811048:0.234834:0.818940:0.234834:0.818940:0.216936:0.811048:0.216936:0.000000 x:@0.849502:0.234834:0.857635:0.234834:0.857635:0.216936:0.849502:0.216936:0.000000 x a:@0.600141:0.305713:0.623695:0.305713:0.623695:0.287815:0.600141:0.287815:0.000000:0.000000:0.000000 ( + ) – 2 ( + ) = ( + )( – 2 ):@0.608274:0.305713:0.876210:0.305713:0.876210:0.287785:0.608274:0.287785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.644459:0.305713:0.654559:0.305713:0.654559:0.287815:0.644459:0.287815:0.000000 y a:@0.688516:0.305713:0.712090:0.305713:0.712090:0.287815:0.688516:0.287815:0.000000:0.000000:0.000000 b:@0.732854:0.305713:0.742954:0.305713:0.742954:0.287815:0.732854:0.287815:0.000000 a:@0.774361:0.305713:0.784461:0.305713:0.784461:0.287815:0.774361:0.287815:0.000000 b x:@0.805224:0.305713:0.834100:0.305713:0.834100:0.287815:0.805224:0.287815:0.000000:0.000000:0.000000 y:@0.862735:0.305713:0.870888:0.305713:0.870888:0.287815:0.862735:0.287815:0.000000 ax bx ay by:@0.590020:0.376789:0.717753:0.376789:0.717753:0.358891:0.590020:0.358891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + + + = (:@0.608253:0.376789:0.745023:0.376789:0.745023:0.358861:0.608253:0.358861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ax bx:@0.744219:0.376789:0.798879:0.376789:0.798879:0.358891:0.744219:0.358891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + ) + ( + ):@0.766067:0.376789:0.886330:0.376789:0.886330:0.358861:0.766067:0.358861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ay by:@0.826269:0.376789:0.881009:0.376789:0.881009:0.358891:0.826269:0.358891:0.000000:0.000000:0.000000:0.000000:0.000000 = ( + ) + ( + ) = ( + )( + ):@0.608876:0.394444:0.867495:0.394444:0.867495:0.376516:0.608876:0.376516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x a b:@0.627230:0.394444:0.678435:0.394444:0.678435:0.376547:0.627230:0.376547:0.000000:0.000000:0.000000:0.000000:0.000000 y a b:@0.701307:0.394444:0.752533:0.394444:0.752533:0.376547:0.701307:0.376547:0.000000:0.000000:0.000000:0.000000:0.000000 a b x y:@0.779923:0.394444:0.862173:0.394444:0.862173:0.376547:0.779923:0.376547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.646668:0.462373:0.659780:0.462373:0.659780:0.444476:0.646668:0.444476:0.000000:0.000000 2:@0.658162:0.455763:0.663875:0.455763:0.663875:0.445311:0.658162:0.445311:0.000000 + 2:@0.663524:0.462378:0.694087:0.462378:0.694087:0.444450:0.663524:0.444450:0.000000:0.000000:0.000000:0.000000 ab:@0.694087:0.462378:0.714288:0.462378:0.714288:0.444481:0.694087:0.444481:0.000000:0.000000 + = ( + ):@0.714288:0.462378:0.823971:0.462378:0.823971:0.444450:0.714288:0.444450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b :@0.735051:0.462378:0.747963:0.462378:0.747963:0.444481:0.735051:0.444481:0.000000:0.000000 2:@0.746355:0.455763:0.752068:0.455763:0.752068:0.445311:0.746355:0.445311:0.000000 a:@0.777686:0.462378:0.787786:0.462378:0.787786:0.444481:0.777686:0.444481:0.000000 b:@0.808550:0.462378:0.818650:0.462378:0.818650:0.444481:0.808550:0.444481:0.000000 2:@0.823970:0.455763:0.829683:0.455763:0.829683:0.445311:0.823970:0.445311:0.000000 4 – 20 + 25 = (2 – 5 ):@0.626892:0.480029:0.843737:0.480029:0.843737:0.462101:0.626892:0.462101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.636691:0.480029:0.647635:0.480029:0.647635:0.462131:0.636691:0.462131:0.000000:0.000000 2:@0.646027:0.473414:0.651740:0.473414:0.651740:0.462962:0.646027:0.462962:0.000000 xy:@0.689590:0.480029:0.705293:0.480029:0.705293:0.462131:0.689590:0.462131:0.000000:0.000000 y :@0.744852:0.480029:0.755816:0.480029:0.755816:0.462131:0.744852:0.462131:0.000000:0.000000 2:@0.754206:0.473414:0.759919:0.473414:0.759919:0.462962:0.754206:0.462962:0.000000 x:@0.795102:0.480029:0.803235:0.480029:0.803235:0.462131:0.795102:0.462131:0.000000 y:@0.831067:0.480029:0.839219:0.480029:0.839219:0.462131:0.831067:0.462131:0.000000 2:@0.843736:0.473414:0.849449:0.473414:0.849449:0.462962:0.843736:0.462962:0.000000 El coeficiente de es 1:@0.644732:0.534152:0.831609:0.534152:0.831609:0.516225:0.644732:0.516225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.776318:0.534152:0.791680:0.534152:0.791680:0.516255:0.776318:0.516255:0.000000:0.000000:0.000000 2:@0.790072:0.527537:0.795785:0.527537:0.795785:0.517085:0.790072:0.517085:0.000000 x :@0.634337:0.551808:0.645281:0.551808:0.645281:0.533910:0.634337:0.533910:0.000000:0.000000 2:@0.643679:0.545188:0.649392:0.545188:0.649392:0.534736:0.643679:0.534736:0.000000 + 2 – 15 = ( + 5)( – 3) :@0.648923:0.551803:0.846396:0.551803:0.846396:0.533875:0.648923:0.533875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.679486:0.551803:0.691233:0.551803:0.691233:0.533905:0.679486:0.533905:0.000000:0.000000 x:@0.751355:0.551803:0.759487:0.551803:0.759487:0.533905:0.751355:0.533905:0.000000 x :@0.800693:0.551803:0.812440:0.551803:0.812440:0.533905:0.800693:0.533905:0.000000:0.000000 + 5 + 6 = ( + 3) + 2):@0.634325:0.569458:0.842009:0.569453:0.842009:0.551526:0.634325:0.551531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.638723:0.569458:0.649666:0.569458:0.649666:0.551561:0.638723:0.551561:0.000000:0.000000 2:@0.648067:0.562838:0.653780:0.562838:0.653780:0.552386:0.648067:0.552386:0.000000 x:@0.683874:0.569453:0.692006:0.569453:0.692006:0.551556:0.683874:0.551556:0.000000 x:@0.748654:0.569453:0.756787:0.569453:0.756787:0.551556:0.748654:0.551556:0.000000 (x:@0.792671:0.569453:0.806125:0.569453:0.806125:0.551556:0.792671:0.551556:0.000000:0.000000 El coeficiente de es diferente de 1:@0.593692:0.625506:0.882653:0.625511:0.882653:0.607583:0.593692:0.607578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.729676:0.625506:0.741423:0.625506:0.741423:0.607608:0.729676:0.607608:0.000000:0.000000 2:@0.739812:0.618896:0.745525:0.618896:0.745525:0.608444:0.739812:0.608444:0.000000 6 – 7 – 3 = (2 – 3)(3 + 1):@0.625121:0.643167:0.851226:0.643162:0.851226:0.625234:0.625121:0.625239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.634921:0.643167:0.645865:0.643167:0.645865:0.625269:0.634921:0.625269:0.000000:0.000000 2:@0.644251:0.636546:0.649964:0.636546:0.649964:0.626094:0.644251:0.626094:0.000000 x :@0.678131:0.643162:0.689878:0.643162:0.689878:0.625264:0.678131:0.625264:0.000000:0.000000 x:@0.749999:0.643162:0.758132:0.643162:0.758132:0.625264:0.749999:0.625264:0.000000 x:@0.807209:0.643162:0.815342:0.643162:0.815342:0.625264:0.807209:0.625264:0.000000 x :@0.653974:0.713980:0.664918:0.713980:0.664918:0.696083:0.653974:0.696083:0.000000:0.000000 2:@0.663308:0.707366:0.669021:0.707366:0.669021:0.696914:0.663308:0.696914:0.000000 – = ( + )( – ):@0.668552:0.713981:0.822370:0.713981:0.822370:0.696054:0.668552:0.696054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.687388:0.713981:0.700501:0.713981:0.700501:0.696084:0.687388:0.696084:0.000000:0.000000 2:@0.698894:0.707366:0.704607:0.707366:0.704607:0.696914:0.698894:0.696914:0.000000 x:@0.730340:0.713981:0.738473:0.713981:0.738473:0.696084:0.730340:0.696084:0.000000 a x a:@0.759236:0.713981:0.817049:0.713981:0.817049:0.696084:0.759236:0.696084:0.000000:0.000000:0.000000:0.000000:0.000000 25 – 36 = (5 + 6 )(5 – 6 ):@0.611824:0.731637:0.864519:0.731632:0.864519:0.713704:0.611824:0.713709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.631423:0.731637:0.644335:0.731637:0.644335:0.713739:0.631423:0.713739:0.000000:0.000000 2:@0.642725:0.725017:0.648438:0.725017:0.648438:0.714565:0.642725:0.714565:0.000000 b :@0.686404:0.731632:0.699517:0.731632:0.699517:0.713734:0.686404:0.713734:0.000000:0.000000 2:@0.697910:0.725017:0.703623:0.725017:0.703623:0.714565:0.697910:0.714565:0.000000 a:@0.739156:0.731632:0.749256:0.731632:0.749256:0.713734:0.739156:0.713734:0.000000 b:@0.779819:0.731632:0.789920:0.731632:0.789920:0.713734:0.779819:0.713734:0.000000 a:@0.810362:0.731632:0.820462:0.731632:0.820462:0.713734:0.810362:0.713734:0.000000 b:@0.849097:0.731632:0.859198:0.731632:0.859198:0.713734:0.849097:0.713734:0.000000 x :@0.625138:0.784250:0.636283:0.784250:0.636283:0.766353:0.625138:0.766353:0.000000:0.000000 3:@0.634686:0.777641:0.640399:0.777641:0.640399:0.767189:0.634686:0.767189:0.000000 + = ( + )(x – x + ):@0.640048:0.784257:0.851192:0.784257:0.851192:0.766329:0.640048:0.766329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.660811:0.784257:0.673924:0.784257:0.673924:0.766359:0.660811:0.766359:0.000000:0.000000 3:@0.672316:0.777641:0.678029:0.777641:0.678029:0.767189:0.672316:0.767189:0.000000 x:@0.703762:0.784257:0.711895:0.784257:0.711895:0.766359:0.703762:0.766359:0.000000 a :@0.732658:0.784257:0.765630:0.784257:0.765630:0.766359:0.732658:0.766359:0.000000:0.000000:0.000000 2:@0.764024:0.777641:0.769737:0.777641:0.769737:0.767189:0.764024:0.767189:0.000000 a:@0.788573:0.784257:0.798673:0.784257:0.798673:0.766359:0.788573:0.766359:0.000000 a :@0.828051:0.784257:0.841766:0.784257:0.841766:0.766359:0.828051:0.766359:0.000000:0.000000 2:@0.840158:0.777641:0.845871:0.777641:0.845871:0.767189:0.840158:0.767189:0.000000 x :@0.626510:0.801912:0.637655:0.801912:0.637655:0.784014:0.626510:0.784014:0.000000:0.000000 3:@0.636042:0.795292:0.641755:0.795292:0.641755:0.784840:0.636042:0.784840:0.000000 – = ( – )(x + x +:@0.641403:0.801907:0.823081:0.801907:0.823081:0.783979:0.641403:0.783979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.660239:0.801907:0.673352:0.801907:0.673352:0.784009:0.660239:0.784009:0.000000:0.000000 3:@0.671743:0.795292:0.677456:0.795292:0.677456:0.784840:0.671743:0.784840:0.000000 x a :@0.703190:0.801907:0.763130:0.801907:0.763130:0.784009:0.703190:0.784009:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.761524:0.795292:0.767237:0.795292:0.767237:0.784840:0.761524:0.784840:0.000000 a:@0.788000:0.801907:0.798101:0.801907:0.798101:0.784009:0.788000:0.784009:0.000000 a :@0.823081:0.801907:0.840411:0.801907:0.840411:0.784009:0.823081:0.784009:0.000000:0.000000:0.000000 2:@0.838803:0.795292:0.844516:0.795292:0.844516:0.784840:0.838803:0.784840:0.000000 ):@0.844516:0.801907:0.849837:0.801907:0.849837:0.783979:0.844516:0.783979:0.000000 x:@0.703573:0.846966:0.711543:0.846966:0.711543:0.829068:0.703573:0.829068:0.000000 :@0.711543:0.846966:0.715158:0.846966:0.715158:0.829068:0.711543:0.829068:0.000000 5:@0.713551:0.840351:0.719150:0.840351:0.719150:0.829899:0.713551:0.829899:0.000000 – = :@0.719149:0.846966:0.773552:0.846966:0.773552:0.829038:0.719149:0.829038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.737608:0.846966:0.745597:0.846966:0.745597:0.829068:0.737608:0.829068:0.000000 :@0.745598:0.846966:0.749213:0.846966:0.749213:0.829068:0.745598:0.829068:0.000000 5:@0.747606:0.840351:0.753205:0.840351:0.753205:0.829899:0.747606:0.829899:0.000000 ( – )( + :@0.614900:0.864621:0.700112:0.864616:0.700112:0.846689:0.614900:0.846694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y x:@0.620115:0.864621:0.672166:0.864621:0.672166:0.846724:0.620115:0.846724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.672158:0.864616:0.675773:0.864616:0.675773:0.846719:0.672158:0.846719:0.000000 4:@0.674167:0.858001:0.679765:0.858001:0.679765:0.847549:0.674167:0.847549:0.000000 x y x y:@0.700112:0.864616:0.766825:0.864616:0.766825:0.846719:0.700112:0.846719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.708083:0.864616:0.711697:0.864616:0.711697:0.846719:0.708083:0.846719:0.000000 3:@0.710091:0.858001:0.715690:0.858001:0.715690:0.847549:0.710091:0.847549:0.000000 +:@0.723678:0.864616:0.739716:0.864616:0.739716:0.846689:0.723678:0.846689:0.000000:0.000000 :@0.751229:0.864616:0.770440:0.864616:0.770440:0.846719:0.751229:0.846719:0.000000:0.000000:0.000000 2 2 :@0.753236:0.858001:0.776945:0.858001:0.776945:0.847549:0.753236:0.847549:0.000000:0.000000:0.000000:0.000000 + :@0.776944:0.864616:0.792983:0.864616:0.792983:0.846689:0.776944:0.846689:0.000000:0.000000 xy:@0.792983:0.864616:0.809159:0.864616:0.809159:0.846719:0.792983:0.846719:0.000000:0.000000 :@0.809157:0.864616:0.812771:0.864616:0.812771:0.846719:0.809157:0.846719:0.000000 3:@0.811165:0.858001:0.816764:0.858001:0.816764:0.847549:0.811165:0.847549:0.000000 + ):@0.816764:0.864616:0.857923:0.864616:0.857923:0.846689:0.816764:0.846689:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.837112:0.864616:0.845102:0.864616:0.845102:0.846719:0.837112:0.846719:0.000000 :@0.845101:0.864616:0.848716:0.864616:0.848716:0.846719:0.845101:0.846719:0.000000 4:@0.847109:0.858001:0.852708:0.858001:0.852708:0.847549:0.847109:0.847549:0.000000 x :@0.644032:0.882267:0.655779:0.882267:0.655779:0.864369:0.644032:0.864369:0.000000:0.000000 4:@0.654173:0.875652:0.659886:0.875652:0.659886:0.865200:0.654173:0.865200:0.000000 – = ( + )( – ) :@0.659593:0.882267:0.833182:0.882267:0.833182:0.864339:0.659593:0.864339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.676923:0.882267:0.688690:0.882267:0.688690:0.864369:0.676923:0.864369:0.000000:0.000000 4:@0.687082:0.875652:0.692795:0.875652:0.692795:0.865200:0.687082:0.865200:0.000000 x :@0.716578:0.882267:0.728326:0.882267:0.728326:0.864369:0.716578:0.864369:0.000000:0.000000 2:@0.726719:0.875652:0.732432:0.875652:0.732432:0.865200:0.726719:0.865200:0.000000 y x y :@0.751397:0.882267:0.819649:0.882267:0.819649:0.864369:0.751397:0.864369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.761557:0.875652:0.767270:0.875652:0.767270:0.865200:0.761557:0.865200:0.000000 2 :@0.786757:0.875652:0.794741:0.875652:0.794741:0.865200:0.786757:0.865200:0.000000:0.000000 2:@0.818043:0.875652:0.823756:0.875652:0.823756:0.865200:0.818043:0.865200:0.000000 = ( + )( – )( + ):@0.654524:0.899922:0.818295:0.899918:0.818295:0.881990:0.654524:0.881995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.674702:0.899918:0.686449:0.899918:0.686449:0.882020:0.674702:0.882020:0.000000:0.000000 2:@0.684843:0.893302:0.690556:0.893302:0.690556:0.882850:0.684843:0.882850:0.000000 y x y x y:@0.709520:0.899918:0.812974:0.899918:0.812974:0.882020:0.709520:0.882020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.719681:0.893302:0.725394:0.893302:0.725394:0.882850:0.719681:0.882850:0.000000 Polinomio.:@0.086809:0.492342:0.164109:0.490817:0.163573:0.475416:0.086274:0.476941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Expresión :@0.164109:0.490817:0.236107:0.489397:0.235588:0.474462:0.163590:0.475882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 algebraica que :@0.087334:0.507466:0.189392:0.505452:0.188873:0.490518:0.086815:0.492531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 constituye la suma o :@0.087859:0.522590:0.228610:0.519813:0.228091:0.504878:0.087340:0.507655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la resta ordenadas de :@0.088385:0.537714:0.233618:0.534848:0.233098:0.519913:0.087866:0.522779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un número finito de :@0.088911:0.552837:0.226465:0.550123:0.225946:0.535189:0.088392:0.537903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 términos o monomios.:@0.089437:0.567961:0.240725:0.564976:0.240205:0.550041:0.088917:0.553027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factor. :@0.090211:0.590231:0.141867:0.589212:0.141332:0.573811:0.089675:0.574830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cantidad que se :@0.141867:0.589212:0.253762:0.587004:0.253243:0.572069:0.141348:0.574277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 multiplica con otra para :@0.090736:0.605355:0.252799:0.602157:0.252280:0.587223:0.090217:0.590420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtener un producto.:@0.091262:0.620479:0.234855:0.617645:0.234336:0.602711:0.090743:0.605544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Glosario:@0.139864:0.469249:0.199484:0.469249:0.199484:0.453843:0.139864:0.453843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factorizar es el proceso :@0.084947:0.219241:0.241625:0.219241:0.241625:0.204301:0.084947:0.204301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de encontrar dos o :@0.084947:0.234370:0.213899:0.234370:0.213899:0.219430:0.084947:0.219430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 más expresiones cuyo :@0.084947:0.249499:0.234068:0.249499:0.234068:0.234559:0.084947:0.234559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 producto sea igual a una :@0.084947:0.264628:0.251846:0.264628:0.251846:0.249688:0.084947:0.249688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 expresión dada; es decir, :@0.084947:0.279757:0.248944:0.279757:0.248944:0.264817:0.084947:0.264817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 consiste en transformar :@0.084947:0.294886:0.243280:0.294886:0.243280:0.279946:0.084947:0.279946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dicho polinomio en el :@0.084947:0.310015:0.234113:0.310015:0.234113:0.295075:0.084947:0.295075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 producto de dos o más :@0.084947:0.325144:0.242326:0.325144:0.242326:0.310204:0.084947:0.310204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 factores.:@0.084947:0.340273:0.139825:0.340273:0.139825:0.325333:0.084947:0.325333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El proceso inverso de :@0.084947:0.362550:0.228315:0.362550:0.228315:0.347610:0.084947:0.347610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la factorización son los :@0.084947:0.377679:0.237323:0.377679:0.237323:0.362739:0.084947:0.362739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 productos notables.:@0.084947:0.392808:0.216633:0.392808:0.216633:0.377868:0.084947:0.377868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.078589:0.177599:0.177280:0.177599:0.177280:0.162192:0.078589:0.162192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078589:0.192728:0.167203:0.192728:0.167203:0.177321:0.078589:0.177321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 2 (Ev. 2) Identifica y utiliza múltiples representaciones de números reales para realizar transformaciones y comparaciones entre expresiones algebraicas:@0.099968:0.971366:0.916902:0.971366:0.916902:0.959414:0.099968:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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