# How do you simplify 3^2(2^2-1^2)+4^2?

Dec 27, 2016

$43$

#### Explanation:

When evaluating expressions with $\textcolor{b l u e}{\text{mixed operations}}$ there is a particular order that must be followed.

Using the order as set out in the acronym PEMDAS [Parenthesis(brackets) , Exponents(powers), Multiplication, Division, Addition ,Subtraction]

$\Rightarrow 9 \left(4 - 1\right) + 16 = 9 \times 3 + 16 \leftarrow \text{ exponents/bracket}$

$= 27 + 16 \leftarrow \text{ multiplication}$

$= 43 \leftarrow \text{ addition}$