化简（X²+2XY+Y²）（X²—XY+Y²）²_数学解答

化简（X²+2XY+Y²）（X²—XY+Y²）²

人气：291 ℃　时间：2019-10-19 23:17:52

解答

(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