# How do you foil 4 (3x+1) (x-2)?

May 8, 2018

$12 {x}^{2} - 20 x - 8$

#### Explanation:

First, distribute the $4$ to the $\left(3 x + 1\right)$:
$4 \cdot 3 x = 12 x$
$4 \cdot 1 = 4$

Then, use FOIL to multiply $\left(12 x + 4\right) \left(x - 2\right)$:

First: $12 x \cdot x = 12 {x}^{2}$

Outer: $12 x \cdot - 2 = - 24 x$

Inner: $4 \cdot x = 4 x$

Last: $4 \cdot - 2 = - 8$

$12 {x}^{2} - 24 x + 4 x - 8$
and you can combine $- 24 x + 4 x$, as they are like terms, to get a final answer of:
$12 {x}^{2} - 20 x - 8$