# How do you multiply  ( 8x + 6) ( x-2) ?

##### 1 Answer
Jun 26, 2015

$\left(8 x + 6\right) \left(x - 2\right) = 8 {x}^{2} - 10 x - 12$

#### Explanation:

This multiplication can be done in several ways: [1] using the distributive property; [2] using FOIL; [3] using a tabular multiplication.
The following uses the distributive approach.

$\left(\textcolor{red}{8 x} + \textcolor{b l u e}{6}\right) \left(x - 2\right)$
applying the distributive property:
$\textcolor{w h i t e}{\text{XXXX}}$$= \left(\textcolor{red}{8 x}\right) \left(x - 2\right) + \left(\textcolor{b l u e}{6}\right) \left(x - 2\right)$
multiplying the two terms separately
$\textcolor{w h i t e}{\text{XXXX}}$$\left(\textcolor{red}{8 {x}^{2} - 16 x}\right) + \left(\textcolor{b l u e}{6 x - 12}\right)$
combine terms
$\textcolor{w h i t e}{\text{XXXX}}$$8 {x}^{2} - 10 x - 12$