Answer :

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].