计算题(需写出计算过程,(x+1)(x^2+1)(x^4+1)(x^8+1)

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计算题(需写出计算过程,(x+1)(x^2+1)(x^4+1)(x^8+1)
计算题(需写出计算过程,
(x+1)(x^2+1)(x^4+1)(x^8+1)

计算题(需写出计算过程,(x+1)(x^2+1)(x^4+1)(x^8+1)
乘以x-1,再除以x-1
=(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)/(x-1)
=(x^2-1)(x^2+1)(x^4+1)(x^8+1)/(x-1)
=(x^4-1)(x^4+1)(x^8+1)/(x-1)
=(x^8-1)(x^8+1)/(x-1)
=(x^16-1)/(x-1)