# How do you simplify x^3/ (x^2-y^2) + y^3/( y^2-x^2)?

##### 1 Answer
Oct 11, 2015

$\frac{{x}^{2} + x y + {y}^{2}}{x + y}$

#### Explanation:

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

$\textcolor{w h i t e}{\text{XXX}} = \frac{{x}^{3} - {y}^{3}}{{x}^{2} - {y}^{2}}$

color(white)("XXX")=((x-y)(x^2+xy+y^2))/((x-y)(x+y)

$\textcolor{w h i t e}{\text{XXX}} = \frac{{x}^{2} + x y + {y}^{2}}{x + y}$
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