化简(X²+2XY+Y²)(X²—XY+Y²)²

问题描述:

化简(X²+2XY+Y²)(X²—XY+Y²)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