# What is 4\times ( 13+ 8)- 8^{2} -:( 2\times 4)?

Sep 22, 2016

$76$

#### Explanation:

Always count the number of terms first.
Each term simplifies to a single answer and these are added or subtracted in the last step.

Within each term the normal order of operation applies.
Brackets, then:
the strongest operations of powers and roots
Multiply and divide
You may do more than one calculation in a line.

$\left[4 \times \textcolor{\to m a \to}{\left(13 + 8\right)}\right] - \left[\textcolor{b l u e}{{8}^{2}} \div \textcolor{\lim e}{\left(2 \times 4\right)}\right] \text{ } \leftarrow$ there are 2 terms

=$\text{ "4xx color(tomato)(21)color(white)(xxxxx)- color(blue)(64) div color(lime)(8)" } \leftarrow$ keep the terms separate

=$\text{ } 84 \textcolor{w h i t e}{\times \times \times \times} - 8$

=$\text{ } 76$