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

发布时间：2021-03-08 00:33:04

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

网友回答

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)
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