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若m-n=4,mn=-1,求(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)的值
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人气:238 ℃ 时间:2019-10-19 06:10:03
解答
(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)
=-2mn+2m+3n-3mn-2n+2m-m-4n-mn
=(-2mn-3mn-mn)+(2m+2m-m)+(3n-2n-4n)
=-6mn+3m-3n
=-6mn+3(m-n)
将m-n=4,mn=-1带入
=-6mn+3(m-n)
=-6×(-1)+3×4
=-6+7
=1
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