# How do you simplify  (3x + 4)(2x + 3)?

Jul 22, 2016

$\left(3 x + 4\right) \left(2 x + 3\right) = 6 {x}^{2} + 17 x + 12$

#### Explanation:

$\left(3 x + 4\right) \left(2 x + 3\right)$

= $\left(3 x + 4\right) \times 2 x + \left(3 x + 4\right) \times 3$

= $2 x \times \left(3 x + 4\right) + 3 \times \left(3 x + 4\right)$

= $6 {x}^{2} + 8 x + 9 x + 12$

= $6 {x}^{2} + 17 x + 12$