To evaluate the expression [tex]\(4x^2 - 3x\)[/tex] when [tex]\(x = 3\)[/tex], follow these steps:
1. Substitute [tex]\(x = 3\)[/tex] into the expression:
[tex]\[
4(3)^2 - 3(3)
\][/tex]
2. Calculate [tex]\(3^2\)[/tex]:
[tex]\[
3^2 = 9
\][/tex]
3. Multiply 4 by [tex]\(3^2\)[/tex]:
[tex]\[
4 \cdot 9 = 36
\][/tex]
4. Multiply 3 by 3:
[tex]\[
3 \cdot 3 = 9
\][/tex]
5. Subtract the product of [tex]\(3 \cdot 3\)[/tex] from the product of [tex]\(4 \cdot 9\)[/tex]:
[tex]\[
36 - 9 = 27
\][/tex]
So, the result of evaluating [tex]\(4x^2 - 3x\)[/tex] when [tex]\(x = 3\)[/tex] is [tex]\(27\)[/tex].
Thus, the correct answer is:
[tex]\[
\boxed{27}
\][/tex]
