Question

use the distributive property to remove the parentheses. simplify your answer as much as possible. 15(2/5 - 2v)

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b - c)=ab - ac \). Here, \( a = 15 \), \( b=\frac{2}{5} \), and \( c = 2v \). So we have \( 15\times\frac{2}{5}-15\times2v \).

Step2: Simplify each term

For the first term, \( 15\times\frac{2}{5}=\frac{15\times2}{5}=\frac{30}{5} = 6 \). For the second term, \( 15\times2v=30v \). So the expression becomes \( 6 - 30v \).

Answer:

\( 6 - 30v \)