因式分解 (x+y)^2(x-y)+(x+y)(x-y)^2

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因式分解 (x+y)^2(x-y)+(x+y)(x-y)^2

因式分解 (x+y)^2(x-y)+(x+y)(x-y)^2
因式分解
(x+y)^2(x-y)+(x+y)(x-y)^2

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

(x+y)^2(x-y)+(x+y)(x-y)^2
=(x+y)(x-y)(x+y+x-y)
=2x(x+y)(x-y)
=2x(x^2-y^2)
=2x^3-2xy^2

因为两边都有X+Y和X-Y
所以式子=（x+y）(x-y)（X+Y+X-Y)
=2X(X的平方-Y的平方）

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