Answer
$\frac{x^{2}+30x+3}{(5x+2)(x+2)(x-3)}$
Work Step by Step
Original Equation
$\frac{x+3}{5x^{2}+12x+4}$ + $\frac{6}{x^{2}+x-6}$
Factor Denominator
$\frac{x+3}{(5x+2)(x+2)}$ + $\frac{6}{(x-3)(x+2)}$
Find LCD: (5x+2)(x+2)(x-3)
Add numerators
$\frac{(x+3)(x-3)+6(5x+2)}{(5x+2)(x+2)(x-3)}$
Simplify
Answer: $\frac{x^{2}+30x+3}{(5x+2)(x+2)(x-3)}$
