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：2024/05/09 00:43:27
(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)
=(1/2)(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3^4-1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3^8-1)(3^8+1)(3^16+1)
=(1/2)(3^16-1)(3^16+1)
=(1/2)(3^32-1)
=3^32/2-1/2
这是我在静心思考后得出的结论,
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