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