分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)

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分解因式x(x-y)(x²-xy-y²)-x²y(y-x)分解因式x(x-y)(x²-xy-y²)-x²y(y-x)分解因式x(x-y)(x

分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)
分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)

分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)
原式=x(x-y)(x²-xy-y²)+x²y(x-y)
=x(x-y)(x²-xy-y²+xy)
=x(x-y)(x²-y²)
=x(x-y)²(x+y)