计算(x^2+2xy+y^2)(x^2-xy+y^2)^2

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计算(x^2+2xy+y^2)(x^2-xy+y^2)^2计算(x^2+2xy+y^2)(x^2-xy+y^2)^2计算(x^2+2xy+y^2)(x^2-xy+y^2)^2(x^2+2xy+y^2)

计算(x^2+2xy+y^2)(x^2-xy+y^2)^2
计算(x^2+2xy+y^2)(x^2-xy+y^2)^2

计算(x^2+2xy+y^2)(x^2-xy+y^2)^2
(x^2+2xy+y^2)(x^2-xy+y^2)^2
=(x+y)^2(x^2-xy+y^2)^2
=[(x+y)(x^2-xy+y^2)]^2
=(x^3+y^3)^2
=x^6+2x^3y^3+y^6

(x^2+2xy+y^2)(x^2-xy+y^2)^2
=(x+y)²(x²-xy+y²)²
=(x³+y³)²
=x^6+2x³y³+y^6