Question

Use the distributive property to write an equivalent expression. 3, left parenthesis, 6, v, plus, 10, w, minus, 1, right parenthesis 3(6v+10w−1)

Answer 1

To apply the distributive property to the expression \( 3(6v + 10w - 1) \), you multiply each term inside the parentheses by 3.

Here's the step-by-step process:

1. Distribute 3 to \( 6v \):
\[ 3 \cdot 6v = 18v \]

2. Distribute 3 to \( 10w \):
\[ 3 \cdot 10w = 30w \]

3. Distribute 3 to \(-1\):
\[ 3 \cdot (-1) = -3 \]

Now, combine all the results together:
\[
3(6v + 10w - 1) = 18v + 30w - 3
\]

Thus, the equivalent expression is:
\[
18v + 30w - 3
\]