Answer
$\frac{3x+7}{(x-3)(x+5)}$
Work Step by Step
$\frac{1}{x+5}+\frac{2}{x-3}$
Find the least common denominator (i.e. $(x+5)(x-3)$) and adjust the fractions:
$=\frac{x-3}{(x-3)(x+5)}+\frac{2(x+5)}{(x-3)(x+5)}$
Combine the fractions:
$=\frac{x-3+2(x+5)}{(x-3)(x+5)}$
Expand any brackets:
$=\frac{x-3+2x+10}{(x-3)(x+5)}$
Collect the like terms:
$=\frac{3x+7}{(x-3)(x+5)}$
