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已知|m-n-2|与(mn-1)^互为相反数,求(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)的值
人气:241 ℃ 时间:2020-06-27 04:44:53
解答
根据题意
绝对值和完全平方非负
所以mn-1=0
m-n-2=0
mn=1
m-n=2
(-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)
=-6×1+3×2
=0
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