题目

(3+1)(3的平方+1)(3的4次方+1)(3的8次方+1)-2分之(3的16次方)

分类:数学


满意答案

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

推荐课程