Question

观察下列各式（a-1)(a+1)=a^2-1; (a-1)(a^2+a+1)=a^3-1; (a-1)(a^3+a^2+

Answer 1

给你点一下思路：

1:(2-1)(2^15+2^14+2^13+……+2^2+2+1)=2^16-1;

2:(3-1)(3^15+3^14+3^13+……+3^2+3+1)=3^16-1