Question

I NEED HELP ASAP:

Express the sum 60 + 72 as a product of the GCF and a sum.

a. 3(20 + 24)
b. 12(5 + 6)
c. 2(30 + 36)
d. 4(15 + 18)

THESE ARENT ANSWER CHOICES AND I AM CONFUSED PLEASE HELP

Answer 1

First, you have to do some factorization

60 = {1,2,3,4,5,6,10,12,15,20,30,60}
72 = {1,2,3,4,6,8,9,12,18,24,36,72}

the GCF is 12

now we find the number that you multiply by 12 to get 60 and another number to get 72.

12 x 5 = 60
12 x 6 = 72

now we notice if you add 60 + 72, we can now tell that it also equals (12)(5)+(12)(6)= 12(5+6)