Use the distributive property to write an equivalent expression.

Question

5, left parenthesis, 10, v, minus, 8, w, plus, 4, right parenthesis
5(10v−8w+4)

Answer 1

To use the distributive property on the expression \( 5(10v - 8w + 4) \), you multiply each term inside the parentheses by 5.

Here’s how it works step-by-step:

1. Multiply \( 5 \) by \( 10v \): \[ 5 \times 10v = 50v \]

2. Multiply \( 5 \) by \( -8w \): \[ 5 \times -8w = -40w \]

3. Multiply \( 5 \) by \( 4 \): \[ 5 \times 4 = 20 \]

Now, combine these results to write the equivalent expression:

\[ 50v - 40w + 20 \]

So, the equivalent expression is \( 50v - 40w + 20 \).