(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/23 11:08:24
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算(3+1)(3^2+1)(3^4+1)(3^8+1)

(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算

(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)怎么算
乘一个(3-1)/2啊
利用公式(a-b)*(a+b)=a^2-b^2
(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
=...
=(3^16-1)(3^16+1)/2
=(3^32-1)/2

(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