Use the distributive property to write an equivalent expression.

Question

9, left parenthesis, 7, r, minus, 3, s, plus, 10, right parenthesis
9(7r−3s+10)

Answer 1

To use the distributive property on the expression \( 9(7r - 3s + 10) \), we will distribute \( 9 \) to each term inside the parentheses.

Here's how it works step by step:

1. Distribute \( 9 \) to \( 7r \): \[ 9 \times 7r = 63r \]

2. Distribute \( 9 \) to \( -3s \): \[ 9 \times -3s = -27s \]

3. Distribute \( 9 \) to \( 10 \): \[ 9 \times 10 = 90 \]

Now, combine all the distributed terms:

\[ 63r - 27s + 90 \]

So, the equivalent expression for \( 9(7r - 3s + 10) \) is:

\[ \boxed{63r - 27s + 90} \]