求(a8+b8)(a4+b4)(a2+b2)(a+b)(a-b)

问题描述:

求(a8+b8)(a4+b4)(a2+b2)(a+b)(a-b)

(a8+b8)(a4+b4)(a2+b2)(a+b)(a-b)
=(a8+b8)(a4+b4)(a2+b2)(a2-b2)
=(a8+b8)(a4+b4)(a4-b4)
=(a8+b8)(a8-b8)
=a16-b16