# How do you simplify 8+7(4^2-3)?

Aug 11, 2016

#### Answer:

$99$

#### Explanation:

In an expression which has a variety of operations, count the number of terms first.

Each term must simplify to a single number and these answers are added or subtracted in the LAST step.

In each term do the strongest operations first, - the powers and roots. Then any multiplication and division.

Brackets (parentheses) indicate when a weaker operation has to be done before a stronger one.

In the calculation, red shows what has been done in each step.

$\textcolor{m a \ge n t a}{8} \textcolor{b l u e}{+ 7 \left({4}^{2} - 3\right)} \text{ has 2 terms}$

=$\textcolor{m a \ge n t a}{8} \textcolor{b l u e}{+ 7 \left(\textcolor{red}{16} - 3\right)}$

=color(magenta)(8)color(blue)(+7(color(red)(13))

=$\textcolor{m a \ge n t a}{8} \textcolor{b l u e}{+ \textcolor{red}{91}}$

=$99$