因式分解 x^2(x+y)(y-x)-xy(x+y)(x-y)

Question

如题所述

Answer 1

您好:
x(x-y)^2-xy(y-x)^2
=x(x-y)^2-xy(x-y)^2
=x(x-y)²(1-y)
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Answer 2

x^2(x+y)(y-x)-xy(x+y)(x-y)
=x^2(x+y)(y-x)+xy(x+y)(y-x)
=x(x+y)(y-x)(x+y)
=x(x+y)^2(y-x)本回答被提问者采纳

Answer 3

x^2(x+y)(y-x)-xy(x+y)(x-y)
=x(x+y)(x-y)^2

Answer 4

=xy(x-y)-x(x-y)^2
=x(x-y)[y-(x-y)]
=x(x-y)(2y-x)