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已知m+n=2,试求代数式m²(1+n)+n²(1+m)的值
人气:257 ℃ 时间:2019-10-24 07:28:21
解答
m²(1+n)+n²(1+m)
=m^2+n^2+m^2n+n^2m
=m^2+n^2+mn(m+n)
=m^2+n^2+2mn
=(m+n)^2
=4
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