Question

Hannah wants to rewrite 18+12 using the greatest common factor and the distributive property. Which expression should she write?

1. 6(3+2)
2. 6(18)+6(12)
3. 3(18+2)
4. 6(3+12)

Answer 1

your answer would be a because 6 times 3 is 18 and 6 times 2 is 12 all your doing is distributing the 6 into 3 and 2 meaning multiplying

Answer 2

ab+ac=a(b+c)
where a is the greatest common factor

find gcf of each
factor each
18=2*3*3
12=2*2*3
GCF=2*3=6

so
18+12=6(3)+6(2)=6(3+2)

first one is the answer