(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,

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(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,
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(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,
(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,

(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,
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)

原式=(x-1)(x+1)(x^2+1)(x^4+1)（x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x²-1)(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)

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原式=(x-1)(x+1)(x^2+1)(x^4+1)（x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)
=(x²-1)(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)。

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