(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算啊急用!

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(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算啊急用!(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算啊急用!(3+1)(3^2+1)(3^4+1

(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算啊急用!
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算啊
急用!

(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算啊急用!
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)-1
=1/2*(3-1)*(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)-1
=1/2(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)-1
=1/2*(3^4-1)(3^4+1)(3^8+1)(3^16+1)-1
=1*2(3^8-1)(3^8+1)(3^16+1)-1
=1/2*(3^16-1)(3^16+1)-1
=1/2(3^32-1)-1
=1/2(3^32+1)
=3^32/2+1/2

乘以(3-1)/2变成:
(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
类推:最后是3^32-1...

(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)/2
=(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