(x-1)(x+1)(x的平方+1)(x的四次方+1)(x的八次方+1)——(x的三十二次方+1)

问题描述:

(x-1)(x+1)(x的平方+1)(x的四次方+1)(x的八次方+1)——(x的三十二次方+1)

(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)……(x^32+1)
=(x^2-1)(x^2+1)(x^4+1)(x^8+1)……(x^32+1)
=(x^4-1)(x^4+1)(x^8+1)……(x^32+1)
=(x^8-1)(x^8+1)……(x^32+1)
=(x^16-1)((x^16+1)(x^32+1)
=(x*32-1)(x^32+1)
=x^64-1