(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1計算方法是什麼?

(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1計算方法是什麼?

因為(2-1)=1所以可以給原式乘上(2-1),原式的值不變原式=(2-1)(2+1)(2²;+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1=(2²;-1)(2²;+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1=(2^ 4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1…