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数学
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已知m-n=4,mn=-1,求:(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)的值.
人气:301 ℃ 时间:2019-10-19 14:37:47
解答
(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)
=-2mn+2m+3n-3mn-2n+2m-m-4n-mn
=-6mn+3m-3n
=-6mn+3(m-n),
又因为m-n=4,mn=-1,
所以-6mn+3(m-n)=(-6)×(-1)+3×4=6+12=18.
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