Certainly! Let's solve the expression step-by-step, following the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
The problem is:
[tex]\[ 3^2 - (5 - 4) + 2 \][/tex]
1. Evaluate the exponent:
[tex]\[ 3^2 = 9 \][/tex]
2. Solve the expression inside the parentheses:
[tex]\[ 5 - 4 = 1 \][/tex]
3. Perform the subtraction:
[tex]\[ 9 - 1 = 8 \][/tex]
4. Finally, perform the addition:
[tex]\[ 8 + 2 = 10 \][/tex]
Therefore, the solution to the expression [tex]\( 3^2 - (5 - 4) + 2 \)[/tex] is:
[tex]\[
\boxed{10}
\][/tex]
