分解因式①（x²＋y²）²－4x²y²②a的三次方减2a²＋a

分解因式①（x²＋y²）²－4x²y²②a的三次方减2a²＋a
分解因式①（x²＋y²）²－4x²y²②a的三次方减2a²＋a

分解因式①（x²＋y²）²－4x²y²②a的三次方减2a²＋a
①（x²＋y²）²－4x²y²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²
2)a的三次方减2a²＋a
=a(a²-2a+1)
=a(a-1)²

(x^2+y^2)^2-4x^2y^2
=(x^2+y^2-2xy)(x^2+y^2+2xy)
=(x-y)^2(x+y)^2
a^3-2a^2+a
=a(a^2-2a+1)
=a(a-1)^2

①﹙x²＋y²﹚²－4x²y²
＝﹙x²＋y²－2xy﹚﹙x²＋y²＋2xy﹚
＝﹙x－y﹚²﹙x＋y﹚².
② a³－2a²＋a
＝a﹙a²－2a＋1﹚
＝a﹙a－1﹚&#...

全部展开

①﹙x²＋y²﹚²－4x²y²
＝﹙x²＋y²－2xy﹚﹙x²＋y²＋2xy﹚
＝﹙x－y﹚²﹙x＋y﹚².
② a³－2a²＋a
＝a﹙a²－2a＋1﹚
＝a﹙a－1﹚².

收起

①
（x²＋y²）²－4x²y²
=(x²＋y²+2xy)(x²＋y²-2xy)
=(x+y)²(x-y)²
②
a³-2a²＋a
=a(a²-2a+1)
=a(a-1)²

...

全部展开

①
（x²＋y²）²－4x²y²
=(x²＋y²+2xy)(x²＋y²-2xy)
=(x+y)²(x-y)²
②
a³-2a²＋a
=a(a²-2a+1)
=a(a-1)²

如果不懂，请追问，祝学习愉快！

收起

①（x²＋y²）²－4x²y²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²

②a的三次方减2a²＋a
=a(a²-2a+1)
=a(a-1)²