# How do you foil (16x + 13)(–8x + 15) ?

Jun 24, 2018

$- 128 {x}^{2} + 136 x + 195$

#### Explanation:

$\left(16 x + 13\right) \left(- 8 x + 15\right)$

Use the distributive method FOIL (shown below) to simplify the expression:

Following this image, we can multiply it out.

The $\textcolor{t e a l}{\text{firsts}}$:
$\textcolor{t e a l}{16 x \cdot - 8 x} = - 128 {x}^{2}$

The $\textcolor{\in \mathrm{di} g o}{\text{outers}}$:
$\textcolor{\in \mathrm{di} g o}{16 x \cdot 15} = 240 x$

The $\textcolor{p e r u}{\text{inners}}$:
$\textcolor{p e r u}{13 \cdot - 8 x} = - 104 x$

The $\textcolor{o l i v e \mathrm{dr} a b}{\text{lasts}}$:
$\textcolor{o l i v e \mathrm{dr} a b}{13 \cdot 15} = 195$

Combine them all together to get:
$- 128 {x}^{2} + 240 x - 104 x + 195$

We can still combine the like terms $\textcolor{b l u e}{240 x}$ and $\textcolor{b l u e}{- 104 x}$:
$- 128 {x}^{2} + 136 x + 195$

Hope this helps!