Question

1. 8x + 36

Explanation:

Step1: Find the greatest common factor (GCF) of 8 and 36.

The factors of 8 are 1, 2, 4, 8. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The GCF of 8 and 36 is 4.

Step2: Factor out the GCF from the expression.

We can rewrite \(8x + 36\) as \(4\times2x+4\times9\). Then, using the distributive property \(a(b + c)=ab+ac\) (in reverse), we get \(4(2x + 9)\).

Answer:

\(4(2x + 9)\)