Which expression shows (45 + 15) in the form a(b + c), where a is the greatest common factor of 45 and 15?

Question

Responses

9(5 + 6)
9(5 + 6)

15(3 + 1)
15(3 + 1)

5(9 + 3)
5(9 + 3)

45(1 + 15)

Answer 1

The greatest common factor of 45 and 15 is 15. So we need to write (45 + 15) as 15 times the sum of two integers.

We can take out a factor of 15 from each term:

(45 + 15) = 15(3 + 1)

Therefore, the expression that shows (45 + 15) in the form a(b + c), where a is the greatest common factor of 45 and 15, is:

15(3 + 1)

So the correct answer is:

15(3 + 1)