作业帮(x+1)(x^2+1)(x^4+1）（x^8+1)(x^16+1)(x^32+1)(x^64+1)=?简便算法
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/24 00:51:43
(x+1)(x^2+1)(x^4+1）（x^8+1)(x^16+1)(x^32+1)(x^64+1)=?简便算法
要求写出具体步骤,
要求写出具体步骤,
乘以x-1,再除以x-1
=(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^2-1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^4-1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^8-1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^16-1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^32-1)(x^32+1)(x^64+1)/(x-1)
=(x^64-1)(x^64+1)/(x-1)
=(x^128-1)/(x-1)
=(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^2-1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^4-1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^8-1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^16-1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x^32-1)(x^32+1)(x^64+1)/(x-1)
=(x^64-1)(x^64+1)/(x-1)
=(x^128-1)/(x-1)
(x+1)(x^2+1)(x^4+1）（x^8+1)(x^16+1)(x^32+1)(x^64+1)=?简便算法
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