Question

Evaluate this exponential expression..

3· (5+4)² - 4² =
A. 46
B. 15
C. 345
D. 227

Answer 1

The expression 3 · (5+4)² - 4² is evaluated by first adding the numbers within the parentheses, raising the sum to the second power, multiplying by 3, and then subtracting 4 squared, resulting in an answer of 227.

Step-by-step explanation:

To evaluate the exponential expression 3 · (5+4)² - 4², we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

1. First, solve the expression inside the parentheses: (5+4).
2. Next, raise the result to the power of 2: 9².
3. Then, multiply that result by 3.
4. Finally, subtract the square of 4 from that result.

The calculations are as follows:

1. (5+4) = 9
2. 9² = 81
3. 3 · 81 = 243
4. 4² = 16
5. 243 - 16 = 227

Therefore, the correct answer is 227, which corresponds to option D.