[tex]( \frac{x+y}{x-y} + \frac{x-y}{x+y} ) : \frac{xy}{ x^{2} y^{2} } [/tex]. Created by SmokeyNine. algebra-ru

tex]...

SmokeyNine @SmokeyNine

June 2022 1 4 Report

[tex]( \frac{x+y}{x-y} + \frac{x-y}{x+y} ) : \frac{xy}{ x^{2} y^{2} } [/tex]

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inblu

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$\frac{(x+y)^2-(x-y)^2}{(x-y)(x+y)}:\frac{xy}{x^2-y^2}= \frac{x^2+2xy+y^2-x^2+2xy-y^2}{x^2-y^2}* \frac{x^2-y^2}{xy} = \frac{4xy}{x^2-y^2}* \frac{x^2-y^2}{xy} \\ =4$

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