Question

Use the GCF and the distributive property to express the sum of the product 45+15

Answer 1

15 (3+1)

Explanation:

I got it right

Answer 2

15*(3 + 1)

Explanation:

Greatest Common Factor (GCF) and Distributive Property

To find the GCF of two quantities, we find their prime factors:

45 = 3 * 3 * 5

15 = 3 * 5

We take the common factors 3*5=15. The GCF is 15.

We want to rewrite the expression

`45+15`

That is equivalent to

`15*3+15`

Note we used the GCF in each term. Now we use the distributive property to factor the 15 out of the expression:

`\boxed{15*(3 + 1)}`

Of course, it can be further simplified and operated, but we have rewritten the expression as required.