Question

use the distributive property to remove the parentheses. simplify your answer as much as possible. 6(\frac{3}{2} - 2y)

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b - c)=ab - ac \). Here, \( a = 6 \), \( b=\frac{3}{2} \), and \( c = 2y \). So we have \( 6\times\frac{3}{2}-6\times2y \).

Step2: Simplify each term

For the first term, \( 6\times\frac{3}{2}=\frac{6\times3}{2}=\frac{18}{2} = 9 \). For the second term, \( 6\times2y=12y \). So the expression becomes \( 9 - 12y \).

Answer:

\( 9 - 12y \)