Question

Evaluate the expression for f = –6, g = –10, and h = 8. Simplify your answer.

f2
f + g − h + 6
=

Answer 1

To evaluate the expression \( f^2 + f + g - h + 6 \) with the values \( f = -6 \), \( g = -10 \), and \( h = 8 \), we can substitute these values into the expression and simplify.

1. Calculate \( f^2 \):
\[
f^2 = (-6)^2 = 36
\]

2. Substitute \( f \), \( g \), and \( h \) into the expression:
\[
36 + (-6) + (-10) - 8 + 6
\]

3. Simplify step by step:
- Start with \( 36 + (-6) \):
\[
36 - 6 = 30
\]
- Next, add \( -10 \):
\[
30 - 10 = 20
\]
- Subtract \( h \) (which is 8):
\[
20 - 8 = 12
\]
- Finally, add 6:
\[
12 + 6 = 18
\]

Thus, after simplifying the expression, the final result is:
\[
\boxed{18}
\]