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n{n+1}{n+2}{n+3}+1是哪个数的平方,并说明理由
人气:324 ℃ 时间:2020-05-15 17:31:22
解答
=n(n+3)(n+1)(n+2)+1
=(n^2+3n)(n^2+3n+2)+1
=(n^2+3n)^2+2(n^2+3n)+1
=(n^2+3n+1)^2
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