作业帮(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)……(x^32+1)(x^64-1)
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/30 17:25:17
(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)……(x^32+1)(x^64-1)
(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)……(x^32+1)(x^64-1)
(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)……(x^32+1)(x^64-1)
(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)……(x^32+1)(x^64-1)
=(x^2-1)(x^2+1)(x^4+1)(x^8+1)……(x^32+1)(x^64-1)
=(x^64-1)^2
(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)……(x^32+1)(x^64-1) =（x^2-1)x^2+1)(x^4+1)(x^8+1)……(x^32+1)(x^64-1)=(x^4-1))(x^4+1)(x^8+1)……(x^32+1)(x^64-1)=(x^8-1)(x^8+1)……(x^32+1)(x^64-1)=……=(x^64-1)^2
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