Question

упростите выражение дробное

Answer 1

Лови решение) 
4у/у^2-х^2 - 2/у-х = 4у-2у-2х/(у-х)(у+х) = 2у-2х/(у-х)(у+х ) = 2(у-х)/(у-х)(у+х) = 2/у+х

Answer 2

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