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

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

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

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

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

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

收起

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