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

Let's simplify the expression step by step.

The original expression is:
\[
(16−12)^2 + 5(8+22)53−(1+4)^2
\]

1. Calculate \( (16 - 12)^2 \):
\[
16 - 12 = 4 \quad \Rightarrow \quad 4^2 = 16
\]

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

3. Now handle \( 5(30)53 \). Assuming 53 means multiplied by 53:
\[
5 \times 30 \times 53 = 150 \times 53
\]
We need to calculate \( 150 \times 53 \):
\[
150 \times 53 = 7950
\]

4. Next, calculate \( (1 + 4)^2 \):
\[
1 + 4 = 5 \quad \Rightarrow \quad 5^2 = 25
\]

5. Now combine all parts:
\[
16 + 7950 - 25
\]

6. Calculate \( 16 - 25 \):
\[
16 - 25 = -9
\]

7. Therefore:
\[
-9 + 7950 = 7941
\]

The simplified numerator is:
\[
7941
\]

None of the provided responses \( 42 + 60 \), \( 54 \), \( 76 \), \( 100 \) match the final result. Thus, none of those options are valid answers based on this expression.