# How do you simplify 12^2-[20div2+5(6+1)]?

Nov 14, 2016

$99$

#### Explanation:

Identify the different terms first.
Each term will simplify to a single answer and these will be added or subtracted only in the last line.

Within each term, the order of operations is:

-Brackets,
-powers and roots,
-multiply and divide

There are 2 terms. but inside the bracket there are also 2 terms.

$\textcolor{b l u e}{{12}^{2}} - \left[\textcolor{red}{20 \div 2} \textcolor{p u r p \le}{+ 5 \left(6 + 1\right)}\right]$

$= \textcolor{b l u e}{144} - \left[\textcolor{red}{10} \textcolor{p u r p \le}{+ 5 \left(7\right)}\right]$

$= \textcolor{b l u e}{144} - \left[\textcolor{red}{10} \textcolor{p u r p \le}{+ 35}\right]$

$= \textcolor{b l u e}{144} - 45$

$= 99$