Question

Evaluate the expression for n = –3.

5n2 − 4(–16 − n) =

Answer 1

To evaluate the expression \( 5n^2 - 4(-16 - n) \) for \( n = -3 \), follow these steps:

1. Substitute \( n = -3 \) into the expression:

\[
5(-3)^2 - 4(-16 - (-3))
\]

2. Calculate \( (-3)^2 \):

\[
(-3)^2 = 9
\]

3. Substitute this value into the expression:

\[
5(9) - 4(-16 + 3)
\]

4. Calculate \( 5(9) \):

\[
5(9) = 45
\]

5. Simplify \( -16 + 3 \):

\[
-16 + 3 = -13
\]

6. Substitute this back into the expression:

\[
45 - 4(-13)
\]

7. Now calculate \( -4(-13) \):

\[
-4(-13) = 52
\]

8. Finally, combine \( 45 \) and \( 52 \):

\[
45 + 52 = 97
\]

So, the final result of the expression for \( n = -3 \) is:

\[
\boxed{97}
\]