text: # 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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