(x+1)(x2+1)(x4+1)(x8+1)(x16+1)

分类: 作业答案 • 2022-01-09 18:02:45

问题描述：

(x+1)(x2+1)(x4+1)(x8+1)(x16+1)
(x2+1)意思是X的平方+1

答

(x+1)(x2+1)(x4+1)(x8+1)(x16+1)
=(x+1)(x-1)(x2+1)(x4+1)(x8+1)(x16+1)/(x-1)
=(x32-1)/(x-1)
=1+x+x2+x3+...+x31