来自刘金德的问题
1+2乘以1+2的平方乘以1+2的四次方乘以1+2的八次方怎么算?
1+2乘以1+2的平方乘以1+2的四次方乘以1+2的八次方怎么算?
1回答
2020-07-24 22:30
1+2乘以1+2的平方乘以1+2的四次方乘以1+2的八次方怎么算?
1+2乘以1+2的平方乘以1+2的四次方乘以1+2的八次方怎么算?
(1+2)(1+2^2)(1+2^4)(1+2^8)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)
=(2^4-1)(2^4+1)(2^8+1)
=(2^8-1)(2^8+1)
=2^16-1