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: \[ -30f - 68 \]