作业帮(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：2024/11/26 02:35:39
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(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