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用x-1分之x-1化简(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)

学习时间:2026-06-04 21:38:58 阅读：1169

用x-1分之x-1化简(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)

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2026-06-04 21:38:58

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

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2026-06-04 21:38:58
=(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)/(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^32-1)/(x-1)

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