Question

use the distributive property to expand the expression. 5(2x - 3) = 5(□x) - 5(?)

Explanation:

Step1: Recall the distributive property

The distributive property states that \(a(b - c)=ab - ac\). For the expression \(5(2x - 3)\), we apply this property.

Step2: Apply the distributive property

Comparing \(5(2x - 3)\) with \(a(b - c)\) where \(a = 5\), \(b=2x\), and \(c = 3\). So, \(5(2x-3)=5\times(2x)-5\times(3)\), which means the first box should be \(2\) (since the coefficient of \(x\) in \(2x\) is \(2\)) and the second box should be \(3\).

Answer:

The first box is \(2\) and the second box is \(3\). So the filled expression is \(5(2x - 3)=5(2x)-5(3)\)