# How do you foil (2x – 13)(5x + 12)?

Aug 6, 2018

$10 {x}^{2} - 41 x - 156$

#### Explanation:

Foil stands for first, outside, inside, last.

In this questions, there are two terms, $2 x - 13$ and $5 x + 12$

First means you multiply the first set of values, $2 x$ and $5 x$
$2 x \cdot 5 x = 10 {x}^{2}$

Outside means you multiply the outer values, $2 x$ and $12$
$2 x \cdot 12 = 24 x$

Inside means you multiply the inner values, $- 13$ and $5 x$
$- 13 \cdot 5 x = - 65 x$

Last means you multiply the last values, $- 13$ and $12$
$- 13 \cdot 12 = - 156$

Now you can put those into one expression and simplify
$10 {x}^{2} + 24 x - 65 x - 156$
$10 {x}^{2} - 41 x - 156$