# How do you evaluate 4( 3+ 1) - 2( 6+ 4)?

Mar 2, 2018

The result is $- 4$.

#### Explanation:

Follow PEMDAS, or the order of operations. PEMDAS stands for:

## $\text{Subtraction}$

Here's our expression:

$\textcolor{w h i t e}{=} 4 \left(3 + 1\right) - 2 \left(6 + 4\right)$

First, simplify the expression in the parentheses:

$\textcolor{w h i t e}{=} 4 \left(\textcolor{red}{3 + 1}\right) - 2 \left(\textcolor{b l u e}{6 + 4}\right)$

$= 4 \left(\textcolor{red}{4}\right) - 2 \left(\textcolor{b l u e}{10}\right)$

Next, simplify any exponents. (There are none.) Then, do any multiplication:

$\textcolor{w h i t e}{=} \textcolor{\mathmr{and} a n \ge}{4 \left(4\right)} - \textcolor{g r e e n}{2 \left(10\right)}$

$= \textcolor{\mathmr{and} a n \ge}{16} - \textcolor{g r e e n}{20}$

Lastly, since there isn't any division or addition left, do the final subtraction step:

$\textcolor{w h i t e}{=} 16 - 20$

$= - 4$