Use the distributive property to write an equivalent expression. 8, left parenthesis, 3, s, plus, 9, t, minus, 6, right parenthesis 8(3s+9t−6)

Answer 1

To use the distributive property on the expression \( 8(3s + 9t - 6) \), you will multiply each term inside the parentheses by 8.

Here's the step-by-step breakdown:

1. Distribute 8 to \( 3s \): \[ 8 \cdot 3s = 24s \]

2. Distribute 8 to \( 9t \): \[ 8 \cdot 9t = 72t \]

3. Distribute 8 to \( -6 \): \[ 8 \cdot -6 = -48 \]

Now, combine all these results:

\[ 8(3s + 9t - 6) = 24s + 72t - 48 \]

So the equivalent expression is:

\[ 24s + 72t - 48 \]