Question

Use the distributive property and the greatest common factor (GCF) to write an

expression that is equivalent to 8 + 24x.

Answer 1

8(1 + 3x)

Explanation:

8 + 24x ← factor out 8 ( the GCF ) from each term

= 8(1 + 3x)

Answer 2

Explanation:

Remark

the greatest common factor between 8 and 24 is 8. 8 is the very largest number that you could divide into 8. Any higher and you would be creating a fraction > 0 and less than 1

Having said all that, here's what it means.

8 = 8*1

when you apply the distributive property, 1 is what is left behind.

24x = 8 * 3 * x

When you apply the distributive property 3x is what is left behind.

Answer: 8(1 + 3x)