$$\frac { x 2 } { x - y } + \frac { y 2 } { y - x }$$
Evaluate
$\frac{x_{2}-y_{2}}{x-y}$
Solution Steps
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $x-y$ and $y-x$ is $-x+y$. Multiply $\frac{x_{2}}{x-y}$ times $\frac{-1}{-1}$.
$$\frac{-x_{2}}{-x+y}+\frac{y_{2}}{-x+y}$$
Since $\frac{-x_{2}}{-x+y}$ and $\frac{y_{2}}{-x+y}$ have the same denominator, add them by adding their numerators.
