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数学
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(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)
过程
人气:164 ℃ 时间:2020-06-06 09:55:50
解答
平方差
(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)
=(a^2-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)
=(a^4-1)(a^4+1)(a^8+1)(a^16+1)
=(a^8-1)(a^8+1)(a^16+1)
=(a^16-1)(a^16+1)
=a^32-1
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