(x+1)(x^2+1)(x^4+1).(x^2048+1)(x-1)

问题描述:

(x+1)(x^2+1)(x^4+1).(x^2048+1)(x-1)

(x+1)(x^2+1)(x^4+1).(x^2048+1)(x-1)
=(x-1)(x+1)(x^2+1)(x^4+1).(x^2048+1)\
=(x^2-1)(x^2+1)(x^4+1).(x^2048+1)
=(x^4-1)(x^4+1).(x^2048+1)
=x^4096-1