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x^2+1)(x^4+1)(x^8+1)(x^16+1).将(x-1)/(x-1)乘这个整式.用平方差公式解 ,

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x^2+1)(x^4+1)(x^8+1)(x^16+1).将(x-1)/(x-1)乘这个整式.用平方差公式解 ,
(x^2+1)(x^4+1)(x^8+1)(x^16+1).将(x-1)/(x-1)乘这个整式.用平方差公式解
(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1) (分子乘以(x-1)分母除以(x-1)
=(x^2-1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)/(x-1)
=(x^4-1)(x^4+1)(x^8+1)(x^16+1)/(x-1)
=(x^8-1)(x^8+1)(x^16+1)/(x-1)
=(x^16-1)(x^16+1)/(x-1)
=(x^32-1)/(x-1)