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

Question

Mila Anderson · Accepted Answer

#-102#

#-50-4((-10-4(-3+1)^2)/(-2))#

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((-10-4(-2)^2)/(-2))#

Exponent:
#-50-4((-10-4(4))/(-2))#

Multiplication:
#-50-4((-10-16)/(-2))#

Subtract on numerator:
#-50-4((-26)/(-2))#

Division:
#-50-4(13)#

Multiplication:
#-50-52#

And lastly, subtraction:
#-102#

Hope this helps!

Mila Anderson · Answer

undefined To simplify the expression $-50 - 4 \left( \frac{{-10 - 4(-3 + 1)^2}}{{-2}} \right)$:

1. Evaluate the expression inside the parentheses first, considering the operations within the parentheses followed by any exponents:
$$ (-3 + 1)^2 = (-2)^2 = 4 $$

2. Replace the expression within the parentheses with its simplified value:
$$ -10 - 4(4) = -10 - 16 = -26 $$

3. Substitute the simplified value back into the original expression:
$$ -50 - 4 \left( \frac{{-26}}{{-2}} \right) $$

4. Perform the division inside the parentheses:
$$ \frac{{-26}}{{-2}} = 13 $$

5. Multiply the result by $4$:
$$ 4 \cdot 13 = 52 $$

6. Subtract the result from $-50$:
$$ -50 - 52 = -102 $$

So, the simplified form of the expression is $-102$.