# How do you simplify \frac { 6t + 9t ^ { 2} - 6} { 2+ 3t }?

Oct 13, 2017

$\frac{3 \left[t \left(3 t + 2\right) - 2\right]}{3 t + 2}$

#### Explanation:

I rearranged the equation to make simplifying easier.
$\frac{9 {t}^{2} + 6 t - 6}{3 t + 2}$

Factor 3 from the numerator.
$\frac{3 \left(3 {t}^{2} + 2 t - 2\right)}{3 t + 2}$

Factor t from the numerator.
$\frac{3 \left[t \left(3 t + 2\right) - 2\right]}{3 t + 2}$