(x+y)^2(x^2-2xy+y^2)=()^2
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(x+y)^2(x^2-2xy+y^2)=()^2(x+y)^2(x^2-2xy+y^2)=()^2(x+y)^2(x^2-2xy+y^2)=()^2原式=(x+y)²(x-y)²
(x+y)^2(x^2-2xy+y^2)=()^2
(x+y)^2(x^2-2xy+y^2)=()^2
(x+y)^2(x^2-2xy+y^2)=()^2
原式=(x+y)²(x-y)²——————>完全平方公式
=[(x+y)(x-y)]²
=(x²-y²)²————————>平方差公式
x^2-2xy+y^2=(x-y)^2
(x+y)^2(x^2-2xy+y^2)=(x+y)^2(x-y)^2=(x^2-y^2)^2
(-x-y)(x^2+xy+y^2)
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