Question

Consider the expression (16−12)2+5(8+22)53−(1+4)2
. What is the simplified numerator?(1 point)
Responses

100
100

76
76

54
54

42+60

Answer 1

Let's simplify the expression step by step.

The expression is:

\[
(16−12)^2 + 5(8+22)53 − (1+4)^2
\]

1. First, simplify each part of the expression:
- \( (16 - 12)^2 = 4^2 = 16 \)
- \( (1 + 4)^2 = 5^2 = 25 \)
- \( 8 + 22 = 30 \)

2. Now substitute these values back into the expression:
- The expression becomes:
\[
16 + 5(30)53 - 25
\]

3. Next, calculate \( 5(30)53 \):
- This looks like a typo. Assuming "53" is not part of the operation and we simply use \( 5 \times 30 = 150 \).

4. Insert this value back into the expression:
- The expression becomes:
\[
16 + 150 - 25
\]

5. Simplify further:
- \( 16 + 150 = 166 \)
- \( 166 - 25 = 141 \)

Thus, the simplified numerator is \( 141 \), which is not listed in the given responses. It's advisable to check whether the problem or response options have any inaccuracies. If this was a multiple choice based on numeric simplifications, please double-check, as none of the provided options (100, 76, 54, 42+60) match \( 141 \).