简便计算(3+1)(3^2+1)(3^4+1)(3^8+1)+(3^16+1)

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简便计算(3+1)(3^2+1)(3^4+1)(3^8+1)+(3^16+1)
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简便计算(3+1)(3^2+1)(3^4+1)(3^8+1)+(3^16+1)
简便计算(3+1)(3^2+1)(3^4+1)(3^8+1)+(3^16+1)

简便计算(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(3^16-1)+3^16+1
=3/2*3^16+1/2
=1/2*3^17+1/2
如果本题有什么不明白可以追问,

应该是1074!