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

To simplify the expression \((16−12)^2 + 5(8+22)53 − (1+4)^2\), we will break it down step by step:

1. Calculate \(16 - 12\):
\[
16 - 12 = 4
\]

2. Now square it:
\[
(16 - 12)^2 = 4^2 = 16
\]

3. Next, calculate \(8 + 22\):
\[
8 + 22 = 30
\]

4. Now multiply by 5 and then by 53:
\[
5(30)53 = 5 \times 30 \times 53 = 150 \times 53
\]
First, compute \(150 \times 53\):
\[
150 \times 53 = 7950
\]

5. Next, calculate \(1 + 4\):
\[
1 + 4 = 5
\]

6. Now square this result:
\[
(1 + 4)^2 = 5^2 = 25
\]

7. Now substitute everything back into the expression:
\[
16 + 7950 - 25
\]

8. Now perform the addition and subtraction:
- Combine \(16 - 25\):
\[
16 - 25 = -9
\]

- Now add \(-9\) to \(7950\):
\[
7950 - 9 = 7941
\]

Thus, the simplified numerator of the expression is \(\boxed{7941}\).