Question

Use the distributive property to write an equivalent expression.
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:

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