Answer :
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
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
