# How do you simplify 33 – 3[20 – (3 + 1)^2]  using order of operations?

Apr 16, 2018

$21$

#### Explanation:

$33 - 3 \left[20 - {\left(3 + 1\right)}^{2}\right]$

The order of operations is shown here, PEMAS:

As you can see, parenthesis is the first thing we need to do, so let's simplify the quantity in the parenthesis:
$33 - 3 \left[20 - {\left(4\right)}^{2}\right]$

The next is exponents:
$33 - 3 \left[20 - 16\right]$

Brackets, or $\left[\right]$ are the same as parentheses $\left(\right)$ in this case.

So now we solve for the quantity inside the bracket:
$33 - 3 \left[4\right]$

The next thing to do is multiplication:
$33 - 12$

And finally subtraction:
$21$

Hope this helps!

Apr 16, 2018

$= 21$

#### Explanation:

PEMDAS
Perentheses, exponents, multiplication, division, addition, subtraction

Step 1: ${\left(3 + 1\right)}^{2}$

${4}^{2} = 16$

Step 2: $20 - 16$

$20 - 16 = 4$

Step 3: Calculate what is outside parenthesis/bracket

$33 - 3 \left(4\right) = 21$