(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)要具体过程.

来源：学生作业帮助网编辑：作业帮时间：2024/04/29 21:37:36

(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)要具体过程.
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
要具体过程.

(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)要具体过程.
(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

(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)

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(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)

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