求因式分解(x-y)²-2(x-y)³和(x+y)(x-y)-x(x-y)

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求因式分解(x-y)²-2(x-y)³和(x+y)(x-y)-x(x-y)

求因式分解(x-y)²-2(x-y)³和(x+y)(x-y)-x(x-y)
求因式分解(x-y)²-2(x-y)³和(x+y)(x-y)-x(x-y)

求因式分解(x-y)²-2(x-y)³和(x+y)(x-y)-x(x-y)
(x-y)²-2(x-y)³
=(x-y)(1-2x+2y)
(x+y)(x-y)-x(x-y)
=(x-y)(x+y-x)
=y(x-y)