Question

Rewrite in simplest terms: 8, left parenthesis, minus, 6, f, minus, 9, right parenthesis, plus, 2, left parenthesis, 9, f, plus, 2, right parenthesis8(−6f−9)+2(9f+2)

Answer 1

To simplify the expression \( 8(-6f - 9) + 2(9f + 2) \), let's distribute:

1. For \( 8(-6f - 9) \):
\[
8 \times -6f = -48f
\]
\[
8 \times -9 = -72
\]
So, \( 8(-6f - 9) = -48f - 72 \).

2. For \( 2(9f + 2) \):
\[
2 \times 9f = 18f
\]
\[
2 \times 2 = 4
\]
So, \( 2(9f + 2) = 18f + 4 \).

Now combine both parts:
\[
-48f - 72 + 18f + 4
\]

Combine the \( f \) terms and the constant terms:
\[
(-48f + 18f) + (-72 + 4) = -30f - 68
\]

The simplified expression is:
\[
-30f - 68
\]