# How do you multiply (2n+2)(6n+1)?

Jul 8, 2015

One method is through multiple application of the distribution property.
$\left(2 n + 2\right) \left(6 n + 1\right) = 12 {n}^{2} + 14 n + 2$

#### Explanation:

$\left(2 n + 2\right) \left(6 n + 1\right)$
$\textcolor{w h i t e}{\text{XXXX}}$$= 2 n \left(6 n + 1\right) + 2 \left(6 n + 1\right)$

$\textcolor{w h i t e}{\text{XXXX}}$$= \left(12 {n}^{2} + 2 n\right) + \left(12 n + 2\right)$

$\textcolor{w h i t e}{\text{XXXX}}$$= 12 {n}^{2} + \left(2 n + 12 n\right) + 2$

$\textcolor{w h i t e}{\text{XXXX}}$$= 12 {n}^{2} + 14 n + 2$