(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)

来源：学生作业帮助网编辑：作业帮时间：2024/11/07 22:36:14

(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)

(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=（3-1）(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)/（3-1）
=(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)/2
=(3^4-1)(3^4+1)(3^8+1)(3^16+1)/2
=(3^8-1)(3^8+1)(3^16+1)/2
=(3^16-1)(3^16+1)/2
=(3^32-1)/2

1+2+3+4+1 1 2 3 4 1 2 3 4 1 2 3 4 1,2,3,4, 1 2 3 4 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1,2,3,4, 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1、2、3、4 1+2+3×4 1,2,3,4