Answer
$\frac{11x+6}{(x+6)(x-6)(x+3)}$
Work Step by Step
Original Equation
$\frac{x+2}{x^{2}-36}$ - $\frac{x}{x^{2}+9x+18}$
Factor Denominator
$\frac{x+2}{(x+6)(x-6)}$ - $\frac{x}{(x+6)(x+3)}$
Find LCD: (x+6)(x-6)(x+3)
Add numerators
$\frac{(x+2)(x+3)-x(x-6)}{(x+6)(x-6)(x+3)}$
Simplify
Answer: $\frac{11x+6}{(x+6)(x-6)(x+3)}$
