Question

Consider the expression: (16−12)^2+5(8+2^2) / 5^3−(1+4)^2
(1 point)
What is the simplified numerator?

Answer 1

To simplify the numerator of the expression \((16 - 12)^2 + 5(8 + 2^2)\), we will calculate each part step by step.

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

2. Now square this result:
\[
(4)^2 = 16
\]

3. Next, calculate \(2^2\):
\[
2^2 = 4
\]

4. Now evaluate \(8 + 2^2\):
\[
8 + 4 = 12
\]

5. Multiply this result by 5:
\[
5(12) = 60
\]

6. Finally, combine the results from step 2 and step 5 to find the numerator:
\[
16 + 60 = 76
\]

Thus, the simplified numerator is \(76\).