# How do you simplify [(8+5) (6-2) ^2] - (4times17 div2) using order of operations?

Mar 25, 2018

$174$

#### Explanation:

Count the number of terms in the expression.

$\textcolor{b l u e}{\left[\left(8 + 5\right) {\left(6 - 2\right)}^{2}\right]} \textcolor{red}{- \left(4 \times 17 \div 2\right)} \text{ } \leftarrow$ there are 2 terms

Simplify each term to a single answer which will be added or subtracted in the last step.

In each term the order to follow is:

Brackets first - work from the innermost bracket
Multiply and divide

$\text{ } \textcolor{b l u e}{\left[\left(8 + 5\right) {\left(6 - 2\right)}^{2}\right]} \textcolor{red}{- \left(4 \times 17 \div 2\right)}$
$\textcolor{w h i t e}{w \times w} \downarrow \textcolor{w h i t e}{w x w} \downarrow \textcolor{w h i t e}{w \times x w} \downarrow$
=color(blue)([(13) xx" " (4) ^2])" "color(red)( - (68 div2))
$\textcolor{w h i t e}{w \times w} \downarrow \textcolor{w h i t e}{w x w} \downarrow \textcolor{w h i t e}{w \times x w} \downarrow$
=color(blue)([(13)""xx" " (16)])" "color(red)( - (34))
$\textcolor{w h i t e}{w \times \times w} \downarrow$
$= \textcolor{w h i t e}{\times \times} \textcolor{b l u e}{208} \textcolor{w h i t e}{\times \times} \textcolor{red}{- 34}$

$= 174$