# (x-1)(5x-2) ?

Apr 13, 2018

To simplify this expression, we need to use the process known as $F O I L$-ing.

$F O I L$ is defined as such:

$F$ - First

$O$ - Outer

$I$ - Inner

$L$ - Last

These are the steps, in order from top to bottom, that we use to simplify factors into the function.

Given these steps, we can simplify away. The steps would look like this:

$\left(\textcolor{red}{x} - \textcolor{b l u e}{1}\right) \left(\textcolor{g r e e n}{5 x} - \textcolor{\mathmr{and} a n \ge}{2}\right)$

$\textcolor{g r e e n}{5 x} \textcolor{red}{\left(x\right)} - \textcolor{\mathmr{and} a n \ge}{2} \textcolor{red}{x} + \textcolor{g r e e n}{5 x} \textcolor{b l u e}{\left(- 1\right)} - \textcolor{\mathmr{and} a n \ge}{2} \textcolor{b l u e}{\left(- 1\right)}$

$5 {x}^{2} - 2 x - 5 x + 2$

$5 {x}^{2} - 7 x + 2$

Hope this helped!