Answered

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Evaluate this exponential expression:

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

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

Sagot :

GinnyAnswer
To solve the expression [tex]\(3 \cdot (5 + 4)^2 - 4^2\)[/tex], let's break it down step by step:

1. Calculate the sum inside the parentheses:
[tex]\[ 5 + 4 = 9 \][/tex]

2. Square the result of the sum inside the parentheses:
[tex]\[ 9^2 = 81 \][/tex]

3. Multiply the squared result by 3:
[tex]\[ 3 \cdot 81 = 243 \][/tex]

4. Square 4:
[tex]\[ 4^2 = 16 \][/tex]

5. Subtract the squared value of 4 from the product obtained in step 3:
[tex]\[ 243 - 16 = 227 \][/tex]

Hence, the value of the expression [tex]\(3 \cdot (5 + 4)^2 - 4^2\)[/tex] is 227.

Therefore, the correct answer is:
[tex]\[ \boxed{B \, 227} \][/tex]
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