$$\frac{ { x }^{ 2 } -2xy }{ 3( { x }^{ 2 } - { y }^{ 2 } ) }$$
$\frac{x\left(x-2y\right)}{3\left(x^{2}-y^{2}\right)}$
$$\frac{x^{2}-2xy}{3x^{2}-3y^{2}}$$
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$-\frac{2xy-x^{2}}{3\left(x^{2}-y^{2}\right)}$