计算(x^2+2xy+y^2)(x^2-xy+y^2)^2

来源：学生作业帮助网编辑：六六作业网时间：2024/11/16 03:44:10

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