Question

use the distributive property to fill in the blanks below.
(4×7)−(4×3)=□×(7−3)

Explanation:

Step1: Recall distributive property

The distributive property of multiplication over subtraction states that \(a\times b - a\times c = a\times(b - c)\).

Step2: Identify the common factor

In the expression \((4\times7)-(4\times3)\), the common factor \(a\) is \(4\), \(b = 7\) and \(c = 3\). So by distributive property, \((4\times7)-(4\times3)=4\times(7 - 3)\).

Answer:

\(4\)