计算:1.(m+2n/n+m) + (n/n-m ) - (2m/n-m) 怎样把第二个分母m-n化为n-m?
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(m+2n)/(n+m)+n/(n-m ) - 2m/(n-m)
=(m+2n)(n-m)/[(n+m)(n-m)]+n(n+m)/[(n+m)(n-m)]-2m(n+m)/[(n+m)(n-m)]
=[(m+2n)(n-m)+n(n+m) -2m(n+m)] /[(n+m)(n-m)]
=[3n^2-2mn-3m^2] /[(n+m)(n-m)]
如:n/(m-n )=-n/(n-m)
=(m+2n)(n-m)/[(n+m)(n-m)]+n(n+m)/[(n+m)(n-m)]-2m(n+m)/[(n+m)(n-m)]
=[(m+2n)(n-m)+n(n+m) -2m(n+m)] /[(n+m)(n-m)]
=[3n^2-2mn-3m^2] /[(n+m)(n-m)]
如:n/(m-n )=-n/(n-m)
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