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

分类: 作业答案 • 2022-02-21 19:42:26

问题描述：

答

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

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

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