Let's solve the expression \(2(4-1)^2\) step by step:
1. Start with the expression inside the parentheses:
[tex]\[
4 - 1
\][/tex]
2. Subtract 1 from 4:
[tex]\[
4 - 1 = 3
\][/tex]
3. Now, take the result (3) and raise it to the power of 2:
[tex]\[
3^2
\][/tex]
4. Calculate \(3^2\):
[tex]\[
3^2 = 9
\][/tex]
5. Finally, multiply this result by 2:
[tex]\[
2 \times 9
\][/tex]
6. Perform the multiplication:
[tex]\[
2 \times 9 = 18
\][/tex]
Therefore, the value of \(2(4-1)^2\) is 18.
The correct answer is:
C. 18
