Consider the expression (16−12)2+5(8+22)53−(1+4)2

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

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

2. Calculate \((4)^2\):
\[
4^2 = 16
\]

3. Calculate \(8 + 22\):
\[
8 + 22 = 30
\]

4. Now we have \(5(30) \cdot 53\), which means we multiply:
\[
5 \cdot 30 = 150
\]

5. Now find \(150 \cdot 53\). This requires additional calculation:
\[
150 \cdot 53 = 7950
\]

6. Calculate \(1 + 4\):
\[
1 + 4 = 5
\]

7. Calculate \((5)^2\):
\[
5^2 = 25
\]

8. Now we can put everything together into the expression:
\[
16 + 7950 - 25
\]

9. Now perform the addition and subtraction:
\[
16 + 7950 = 7966
\]
\[
7966 - 25 = 7941
\]

So the simplified numerator of the entire expression is **7941**. However, since that is not listed among your response options, I suggest you verify the options or the original expression given. If there was an error in writing the choices or the expression itself, please check.

If we consider just the simplified components, \(16 + 7950 - 25\) leads us to:
- The separate terms before calculation yield \(16\), \(7950\), and \(25\).

Please ensure the options are correct or further specify what you're looking for, as none of the provided results match the simplified calculation.