Let's solve the expression step-by-step:
1. Evaluate the expression inside the parentheses:
[tex]\[
5 + 2 = 7
\][/tex]
2. Square the result from step 1:
[tex]\[
7^2 = 49
\][/tex]
3. Evaluate the multiplication:
[tex]\[
6 \cdot 4 = 24
\][/tex]
4. Add the results from steps 2 and 3:
[tex]\[
49 + 24 = 73
\][/tex]
So the final result of the expression [tex]\((5 + 2)^2 + 6 \cdot 4\)[/tex] is [tex]\(73\)[/tex].