Question

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

54
54

76
76

42+60
4 squared plus 60

100

Answer 1

To simplify the expression \((16−12)^2 + 5(8+22)53−(1+4)^2\), let's break it down step by step.

1. Calculate \(16 − 12\):
\[
16 - 12 = 4
\]
Therefore, \((16 - 12)^2 = 4^2 = 16\).

2. Next, calculate \(8 + 22\):
\[
8 + 22 = 30
\]
We now compute \(5(30)53\). Since the number 53 appears to represent multiplication, we can interpret it as:
\[
5 \cdot 30 \cdot 53 = 5 \cdot 30 \cdot 53 = 7950
\]

3. Calculate \(1 + 4\):
\[
1 + 4 = 5
\]
Hence, \((1 + 4)^2 = 5^2 = 25\).

4. Now we can put together all the calculated parts in the original expression:
\[
16 + 7950 - 25
\]

5. First, combine \(16\) and \(-25\):
\[
16 - 25 = -9
\]

6. Finally, add \(-9\) to \(7950\):
\[
7950 - 9 = 7941
\]

The final result simplifies to \(7941\). Based on the provided options, none of them seem to match this result. If you want to check for different interpretations of "53" or specific context, please clarify.

If you meant a specific calculation that should match one of the given answers, please let me know.