试说明(2n十3)的平方一(2n十1)的平方一定能被8整除
人气:125 ℃ 时间:2019-08-19 02:34:03
解答
因为
(2n+3)的平方-(2n+1)的平方
=[2n+3-(2n+1)][2n+3+2n+1]
=2(4n+4)
=8(n+1)
8(n+1)一定能被8整除
所以
(2n十3)的平方一(2n十1)的平方一定能被8整除
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