计算 (x^8+y^8)(x^4+y^4)(x^2+y^2)(x+y)(x-y)
问题描述:
计算 (x^8+y^8)(x^4+y^4)(x^2+y^2)(x+y)(x-y)
答
(x^8+y^8)(x^4+y^4)(x^2+y^2)(x+y)(x-y)
=(x^8+y^8)(x^4+y^4)(x^2+y^2)(x^2-y^2)
=(x^8+y^8)(x^4+y^4)(x^4-y^4)
=(x^8+y^8)(x^8-y^8)
=x^16-y^16