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

Aug 8, 2015

$8 {x}^{2} + 10 x - 12$

Explanation:

FOIL stands for First, Outer, Inner, Last

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

First: $2 x \cdot 4 x = 8 {x}^{2}$

Outer: $2 x \cdot \left(- 3\right) = - 6 x$

Inner: $4 \cdot 4 x = 16 x$

Last: $4 \cdot \left(- 3\right) = - 12$

Combining each of the results will get us:
$8 {x}^{2} - 6 x + 16 x - 12$
which can simplify to
$8 {x}^{2} + 10 x - 12$