Question

use the distributive property to factor the expression. 2x + 10 ?(x + ) this number should be the gcf of 2x and 10.

Explanation:

Step1: Find GCF of 2x and 10

The factors of \(2x\) are \(2\) and \(x\), and the factors of \(10\) are \(2\) and \(5\). The greatest common factor (GCF) is \(2\).

Step2: Apply distributive property

Using the distributive property \(ab + ac = a(b + c)\), where \(a = 2\), \(b = x\), and \(c = 5\) (since \(10\div2 = 5\)), we get \(2(x + 5)\).

Answer:

\(2(x + 5)\) (so the first box is \(2\) and the second box is \(5\))