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

网友回答

(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
======以下答案可供参考======
供参考答案1:
原式=x^4096-1
供参考答案2:
(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^2048-1)(x^2048+1)
=x^4096-1