(2+1)(2^2+1)(2^4+1)……(2^128+1)化简下_数学解答

(2+1)(2^2+1)(2^4+1)……(2^128+1)化简下

人气：232 ℃　时间：2020-07-10 07:32:05

解答

(2+1)(2^2+1)(2^4+1)......(2^128+1)
=(2-1)(2+1)(2^2+1)(2^4+1)......(2^128+1)
=(2^-1)(2^2+1)(2^4+1)......(2^128+1)
=(2^4-1)(2^4+1)......(2^128+1)
=2^256-1