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化简:[4xy(x-y)^-1 + (xy^-1 - x^-1y)/(x^-1 + y^-1)] / (x+y)^2

分类: 作业答案 • 2022-07-12 18:56:40
问题描述：

化简:[4xy(x-y)^-1 + (xy^-1 - x^-1y)/(x^-1 + y^-1)] / (x+y)^2

答

[4xy(x-y)^-1 + (xy^-1 - x^-1y)/(x^-1 + y^-1)] / (x+y)^2=[4xy/(x-y)+(x/y-y/x)/(1/x+1/y)]/(x+y)^2=[4xy/(x-y)+((x^2-y^2)/xy)/((x+y)/xy)]/(x+y)^2=[4xy/(x-y)+(x-y)]/(x+y)^2=[(4xy+(x-y)^2)/(x-y)]/(x+y)^2=[(...

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