Question

Use the distributive property to write an equivalent expression.
8, left parenthesis, 5, m, plus, 5, right parenthesis
8(5m+5)

Answer 1

To use the distributive property on the expression \( 8(5m + 5) \), you multiply each term inside the parentheses by 8.

Here’s how it works:

\[
8(5m + 5) = 8 \cdot 5m + 8 \cdot 5
\]

Calculating each term:

\[
8 \cdot 5m = 40m \quad \text{and} \quad 8 \cdot 5 = 40
\]

Now, combine these results:

\[
40m + 40
\]

So, the equivalent expression using the distributive property is:

\[
40m + 40
\]