Let's simplify the expression step-by-step. The expression we are given is:
[tex]\[ 6 \div 3 + 3^2 \cdot 4 - 2 \][/tex]
1. Division:
[tex]\[ 6 \div 3 = 2 \][/tex]
2. Exponentiation:
[tex]\[ 3^2 = 9 \][/tex]
3. Multiplication:
[tex]\[ 9 \cdot 4 = 36 \][/tex]
4. Subtraction:
[tex]\[ 36 - 2 = 34 \][/tex]
5. Addition (with the result from the division):
[tex]\[ 2 + 34 = 36 \][/tex]
Thus, the simplified result of the given expression is:
[tex]\[ 6 \div 3 + 3^2 \cdot 4 - 2 = 36 \][/tex]
So, the correct answer is:
B. 36
