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Evaluate this exponential expression:

[tex]\[ 3 \cdot (5 + 4)^2 - 4^2 \][/tex]

A. 227
B. 345
C. 15
D. 46

Sagot :

GinnyAnswer
Let's evaluate the expression step-by-step:
[tex]\[ 3 \cdot (5 + 4)^2 - 4^2 \][/tex]

1. First, calculate inside the parentheses:
[tex]\[ 5 + 4 = 9 \][/tex]

2. Next, raise the result to the power of 2:
[tex]\[ 9^2 = 81 \][/tex]

3. Now, multiply by 3:
[tex]\[ 3 \cdot 81 = 243 \][/tex]

4. Compute the square of 4:
[tex]\[ 4^2 = 16 \][/tex]

5. Finally, subtract the result of the second square from the first multiplication:
[tex]\[ 243 - 16 = 227 \][/tex]

Thus, the value of the expression is:
[tex]\[ 227 \][/tex]

So, the correct answer is:
[tex]\[ \boxed{A} \][/tex]
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