Question

计算(3+1)(3平方+1)(3四次方+1)...(3三十二次方+1)-二分之三的六十四次方的值。

Answer 1

(3-1)(3+1)(3平方+1)(3四次岁兄方+1)...(3三十二枝笑次方+1)/(3-1)=(3^64-1)/2
(3+1)(3平方+1)(3四次方+1)...(3三十二猛雀含次方+1)-二分之三的六十四次方=(3+1)(3平方+1)(3四次方+1)...(3三十二次方+1)-(3^64)/2=-1/2

Answer 2

原枯岁拿雀升式=(1/2)(3-1)(3+1)(3^2+1).......(3^32+1)-(3^64/2)
=(1/2)(3^2-1)(3^2+1).......(3^32+1)-(3^64/没搭2)
=(1/2)(3^64-1)-(3^64/2)
=3^64/2-1/2-3^63/2
=-1/2