因式分解(x+y)²(x-y)-(x+y)(x²+y²)

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因式分解(x+y)²(x-y)-(x+y)(x²+y²)
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因式分解(x+y)²(x-y)-(x+y)(x²+y²)
因式分解(x+y)²(x-y)-(x+y)(x²+y²)

因式分解(x+y)²(x-y)-(x+y)(x²+y²)
(x+y)²(x-y)-(x+y)(x²+y²)
=(x+y)[(x+y)(x-y)-(x^2+y^2)]
=(x+y)(x^2-y^2-x^2-y^2)
=-2y^2(x+y)