$$\frac { a ^ { 2 } } { a - b } + \frac { b ^ { 2 } } { b - a }$$
Evaluate
$a+b$
Short Solution Steps
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $a-b$ and $b-a$ is $-a+b$. Multiply $\frac{a^{2}}{a-b}$ times $\frac{-1}{-1}$.
$$\frac{-a^{2}}{-a+b}+\frac{b^{2}}{-a+b}$$
Since $\frac{-a^{2}}{-a+b}$ and $\frac{b^{2}}{-a+b}$ have the same denominator, add them by adding their numerators.
$$\frac{-a^{2}+b^{2}}{-a+b}$$
Factor the expressions that are not already factored in $\frac{-a^{2}+b^{2}}{-a+b}$.
