Question

Which of the following expresses 12 + 42 by using the GCF of the two numbers?

3(9 + 14)
3(4 + 38)
6(2 + 7)
6(6 = 36)

Answer 1

• 6(2+7)=12+42 correct answer check

Answer 2

6(2 + 7)

Explanation:

The given expression is

`12+42`

First, we need to find the Greatest Common Factor (GCF), which is the highest multilple, which is common to both numbers. So, to find the GCF, we need to make a list with all divisors

`12: 1, 2, 3, 4, 6, 12.\\42: 1, 2, 3, 6, 7, 14, ...`

Observe that the common number here is 6, that means the Greatest Common Factor is 6, and that's the number should be in front of the expression. That means the two possible answers are 6(2 + 7) and 6(6 = 36). However, the last one doesn't make sense because it has "=" in the middle.

Therefore, the right answer is 6(2 + 7).

Let's prove it

6(2 + 7) = 6x2 + 6x7 = 12 + 42.