Chapter 1, Problem 9MCQ

To determine

ToEvaluate:The expression. $36-2{(3+1)}^2$

Answer to Problem 9MCQ

  $4$

Explanation of Solution

Given: $36-2{(3+1)}^2$

  $36-2{(3+1)}^2$

According to PEMDAS

First solve parenthesis

Therefore

  $\begin{array}{}$ {(3+1)}^2=4^2$$ 36-2{(3+1)}^2=36-2{(4)}^2$\end{array}$

Then exponents comes second in this problem

  $\begin{array}{}$ {(4)}^2=16$$ 36-2{(4)}^2=36-2(16)$\end{array}$

Then multiplication

  $\begin{array}{l}2(16)=32\\ 36-2(16)=36-32\end{array}$

Then final step is subtraction

  $36-32=4$

Hence, $36-2{(3+1)}^2=4$