To evaluate the expression [tex]\(3(4-2)^2\)[/tex], let's break it down into a step-by-step process:
1. Evaluate the expression inside the parentheses:
[tex]\[
4 - 2
\][/tex]
Subtract 2 from 4 to get:
[tex]\[
4 - 2 = 2
\][/tex]
2. Square the result from step 1:
[tex]\[
2^2
\][/tex]
Square 2 to get:
[tex]\[
2^2 = 4
\][/tex]
3. Multiply the squared value by 3:
[tex]\[
3 \times 4
\][/tex]
Multiply 3 by 4 to get:
[tex]\[
3 \times 4 = 12
\][/tex]
So, the evaluated result of [tex]\(3(4-2)^2\)[/tex] is:
[tex]\[
\boxed{12}
\][/tex]
Thus, the correct answer is:
A. 12
