Let's evaluate the expression [tex]\( 5 - (4 + 2)^2 \)[/tex] step-by-step:
1. Evaluate the expression inside the parentheses:
[tex]\[
4 + 2 = 6
\][/tex]
So, the expression simplifies to:
[tex]\[
5 - 6^2
\][/tex]
2. Calculate the square of the inner expression:
[tex]\[
6^2 = 36
\][/tex]
3. Subtract the squared value from 5:
[tex]\[
5 - 36 = -31
\][/tex]
Thus, the final value of the expression [tex]\( 5 - (4 + 2)^2 \)[/tex] is [tex]\(-31\)[/tex]. The correct answer is:
C. -31
