To evaluate the expression [tex]\( 3 \cdot (5 + 4)^2 - 4^2 \)[/tex] step-by-step, follow these instructions:
1. Calculate inside the parentheses:
[tex]\[
5 + 4 = 9
\][/tex]
2. Square the result from the parentheses:
[tex]\[
9^2 = 81
\][/tex]
3. Multiply by 3:
[tex]\[
3 \cdot 81 = 243
\][/tex]
4. Calculate [tex]\( 4^2 \)[/tex]:
[tex]\[
4^2 = 16
\][/tex]
5. Subtract the result of the square of 4 from the multiplied result:
[tex]\[
243 - 16 = 227
\][/tex]
So, the evaluated expression is:
[tex]\[
3 \cdot (5 + 4)^2 - 4^2 = 227
\][/tex]
