提公因式:将下列多项式因式分解:x(x+y)(x-y)-x(x+y)²

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提公因式:将下列多项式因式分解:x(x+y)(x-y)-x(x+y)²

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