Answer
$\frac{(3x-4)}{(x-2)(x-1)}$
Work Step by Step
Original Equation
$\frac{9x+2}{3x^{2}-2x-8}$ + $\frac{7}{3x^{2}+x-4}$
Factor Denominator
$\frac{9x+2}{(3x+4)(x-2)}$ + $\frac{7}{(3x+4)(x-1)}$
Find LCD: (3x+4)(x-2)(x-1)
Add numerators
$\frac{(9x+2)(x-1)+7(x-2)}{(3x+4)(x-2)(x-1)}$
Simplify
$\frac{9x^{2}-16}{(3x+4)(x-2)(x-1)}$
Factor
Answer: $\frac{(3x-4)}{(x-2)(x-1)}$
