Byron wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1.

(48 + 36)

Which is an equivalent expression that has numbers in the parentheses whose only common factor is 1?

someone help pls!

12 Is the GCF for 48 and 36

Well, Byron, if you want to rewrite (48 + 36) using the distributive property and make sure the numbers in the parentheses have no common factor except 1, here's one way to do it:

48 + 36

(6 × 8) + (6 × 6)

Now we can factor out a 6:

6 × (8 + 6)

And there you have it! An equivalent expression with numbers in the parentheses that have no common factor except 1. Keep those factors separate, my friend!

To rewrite the addition problem using the distributive property, we need to find a number that can be factored out of both 48 and 36.

First, let's find the prime factorization of each number:
48 = 2 x 2 x 2 x 2 x 3
36 = 2 x 2 x 3 x 3

Now, we need to find the highest common factors of both numbers. In this case, the highest common factor is 2 x 2 x 3, which is 12.

So, we can rewrite the addition problem using the distributive property as:
(12 x 4) + (12 x 3)

As you can see, now the numbers in the parentheses (4 and 3) have no common factors except 1.

12 is the GCF for 48 and 36