To simplify the expression [tex]\((2 + 3)^2 - 16 \div 2\)[/tex], we can follow a series of well-defined mathematical steps. Here's the detailed step-by-step solution:
1. Calculate the value inside the parentheses:
[tex]\[
2 + 3 = 5
\][/tex]
2. Square the result of the sum:
[tex]\[
5^2 = 25
\][/tex]
3. Perform the division:
[tex]\[
16 \div 2 = 8
\][/tex]
4. Subtract the result of the division from the squared value:
[tex]\[
25 - 8 = 17
\][/tex]
Therefore, the simplified expression [tex]\((2 + 3)^2 - 16 \div 2\)[/tex] is:
[tex]\[
\boxed{17}
\][/tex]
