To simplify the expression [tex]\(40 - 2 \cdot 3^2\)[/tex], follow these steps:
1. Evaluate the exponentiation [tex]\(3^2\)[/tex]:
[tex]\[
3^2 = 9
\][/tex]
2. Multiply the result by 2:
[tex]\[
2 \cdot 9 = 18
\][/tex]
3. Subtract the product from 40:
[tex]\[
40 - 18 = 22
\][/tex]
Thus, the simplified form of the expression [tex]\(40 - 2 \cdot 3^2\)[/tex] is [tex]\(22\)[/tex].
Therefore, the correct answer is [tex]\( \boxed{22} \)[/tex].
