Use the distributive property to write an equivalent expression.

Question

4, left parenthesis, 5, s, plus, 9, t, minus, 6, right parenthesis
4(5s+9t−6)

Answer 1

To use the distributive property on the expression \( 4(5s + 9t - 6) \), you need to multiply each term inside the parentheses by 4.

Here’s how it works:

1. Multiply \( 4 \) by \( 5s \): \[ 4 \times 5s = 20s \]

2. Multiply \( 4 \) by \( 9t \): \[ 4 \times 9t = 36t \]

3. Multiply \( 4 \) by \( -6 \): \[ 4 \times -6 = -24 \]

Now, combine all these results together:

\[ 20s + 36t - 24 \]

Thus, the equivalent expression is:

\[ 20s + 36t - 24 \]