Question

use the distributive property to factor the expression. 7x + 63 ?(x + ) this number should be the gcf of 7x and 63.

Explanation:

Step1: Find GCF of 7x and 63

Factors of \(7x\): \(7, x\)
Factors of \(63\): \(7, 9\)
GCF is \(7\).

Step2: Apply distributive property

Rewrite \(7x + 63\) as \(7 \cdot x + 7 \cdot 9\).
Using \(a(b + c)=ab + ac\) (reverse), we get \(7(x + 9)\).

Answer:

\(7(x + 9)\) (so the first box is \(7\), the second is \(9\))