化简(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)

分类: 作业答案 • 2022-01-01 11:51:35

问题描述：

答

(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=2^512-1