# What is the product of (3n + 4)(2n + 3)?

Apr 23, 2018

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

#### Explanation:

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

$= 3 n \left(2 n + 3\right) + 4 \left(2 n + 3\right)$

$= 3 n \cdot 2 n + 3 n \cdot 3 + 4 \cdot 2 n + 4 \cdot 3$

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

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