【提取公因式】(x+y)^2(x-y)+(x+y)(x-y)^2

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【提取公因式】(x+y)^2(x-y)+(x+y)(x-y)^2
【提取公因式】(x+y)^2(x-y)+(x+y)(x-y)^2

【提取公因式】(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)

=(X^2-y^2)(X+y)+(x-y)(X^2-y^2)
=(X^2-y^2)(x +y +x -y )
=2x(X^2-y^2)