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

Question

asked Feb 6, 2021 12.5k views

2 Answers

Ring Bearer · Answer 1 · 2021-02-12T05:37:59+0000

Answer:

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.