Sure, let's evaluate the given exponential expression step-by-step:
The expression to evaluate is:
[tex]\[ 3 \cdot(5+4)^2 - 4^2 \][/tex]
1. First, solve inside the parentheses:
[tex]\[ 5 + 4 = 9 \][/tex]
2. Next, raise the result to the power of 2:
[tex]\[ 9^2 = 81 \][/tex]
3. Multiply this result by 3:
[tex]\[ 3 \cdot 81 = 243 \][/tex]
4. Raise 4 to the power of 2:
[tex]\[ 4^2 = 16 \][/tex]
5. Finally, subtract the second part from the multiplied result:
[tex]\[ 243 - 16 = 227 \][/tex]
Therefore, the evaluated result of the expression [tex]\( 3 \cdot(5+4)^2 - 4^2 \)[/tex] is:
[tex]\[ 227 \][/tex]
So, the correct answer is:
[tex]\[ \boxed{227} \][/tex]
