# How do you simplify -50-4((-10-4(-3+1)^2)/ (-2)) ?

Jun 14, 2018

$- 102$

#### Explanation:

$- 50 - 4 \left(\frac{- 10 - 4 {\left(- 3 + 1\right)}^{2}}{- 2}\right)$

To simplify this, we will use PEMDAS, shown here:

This is a common method to simplify expressions, and you can remember it using:
Please Excuse My Dear Aunt Sandy

We also start from inside to outside.

First thing we do is simplify the parenthesis:
$- 50 - 4 \left(\frac{- 10 - 4 {\left(- 2\right)}^{2}}{- 2}\right)$

Exponent:
$- 50 - 4 \left(\frac{- 10 - 4 \left(4\right)}{- 2}\right)$

Multiplication:
$- 50 - 4 \left(\frac{- 10 - 16}{- 2}\right)$

Subtract on numerator:
$- 50 - 4 \left(\frac{- 26}{- 2}\right)$

Division:
$- 50 - 4 \left(13\right)$

Multiplication:
$- 50 - 52$

And lastly, subtraction:
$- 102$

Hope this helps!