计算:(x+y)(x∧2+y∧2)(x-y)(x∧4+y∧4)
问题描述:
计算:(x+y)(x∧2+y∧2)(x-y)(x∧4+y∧4)
答
解
原式
=(x+y)(x-y)(x^2+y^2)(x^4+y^4)
=(x^2-y^2)(x^2+y^2)(x^4+y^4)
=(x^4-y^4)(x^4+y^4)
=x^8-y^8