Question

Use the distributive property to rewrite this expression.
5​(8mplus3xminus6n​)

Answer 1

To use the distributive property on the expression \( 5(8m + 3x - 6n) \), you need to multiply each term inside the parentheses by 5.

Here’s how it works step by step:

1. Multiply 5 by \( 8m \):
\[
5 \times 8m = 40m
\]

2. Multiply 5 by \( 3x \):
\[
5 \times 3x = 15x
\]

3. Multiply 5 by \( -6n \):
\[
5 \times -6n = -30n
\]

Now, combine all these results together:

\[
5(8m + 3x - 6n) = 40m + 15x - 30n
\]

So, the expression rewritten using the distributive property is:

\[
40m + 15x - 30n
\]