Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Evaluate this exponential expression:

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

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

Sagot :

GinnyAnswer
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]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.