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

15*(3 + 1)

Step-by-step 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

That is equivalent to

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

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