Question

1：计算 （2+1）*(2^2+1)*(2^4+1)*(2^8+1)+1 结果等于?

Answer 1

1.（2+1）*(2^2+1)*(2^4+1)*(2^8+1)+1

=(2-1)（2+1）*(2^2+1)*(2^4+1)*(2^8+1)+1

=(2^2-1)(2^2+1)(2^4+1)(2^8+1)+1

=(2^4-1)(2^4+1)(2^8+1)+1

=(2^8-1)(2^8+1)+1

=2^16-1+1

=2^16

2.X^2 - 10X + 16 =(X-2)(X-8)