Question

Which expression uses the greatest common factor and the distributive property to rewrite the sum 42 + 72?

6(7 + 12)

7(6 + 9)

12(3 + 6)

2(40 + 70)

Answer 1

The answer is 6(7+12) because 6*7 is 42 and 6*12 is 72

Answer 2

Option 1.

Explanation:

Consider the given expression

`42+72`

We need to rewrite the above expression.

The factored form of each term is

`42=2* 3* 7`

`72=2* 2* 2* 3* 3`

The greatest common factors of 42 and 72 is

`GCF(42,72)=2* 3=6`

Taking out the greatest common factor in the given expression.

`6(7+12)`

Therefore, the correct option is 1.