2x(x-y)4-x2(x-y)2+xy(y-x)2 如何因式分解

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2x(x-y)4-x2(x-y)2+xy(y-x)2如何因式分解2x(x-y)4-x2(x-y)2+xy(y-x)2如何因式分解2x(x-y)4-x2(x-y)2+xy(y-x)2如何因式分解原式=2

2x(x-y)4-x2(x-y)2+xy(y-x)2 如何因式分解
2x(x-y)4-x2(x-y)2+xy(y-x)2 如何因式分解

2x(x-y)4-x2(x-y)2+xy(y-x)2 如何因式分解
原式=2x(x-y)4-x2(x-y)2+xy(x-y)2
=x(x-y)2{2(x-y)2-x+y}
=x(x-y)2{2(x-y)2-(x-y)}
=x(x-y)3(2x-2y-1)

(x-y)[4x(1-y)]

=(2x-4x-2xy)(x-y)
=-2x(1+y)(x-y)