Question

Apply the distributive property to factor out the greatest common factor.
30+42=

Answer 1

Explanation:

6(5+7

Answer 2

`30+42=6(5+7)`

Explanation:

Let
`a,b,c\in \mathbb R`, according to the distributive property:

`a(b+c)=ab+ac`

The prime factorization of 30 is

`30=2\cdot 3\cdot 5`

The prime factorization of 42 is

`42=2\cdot 3\cdot 7`

The Greatest common factor is
`2* 3=6`

`\implies 30+42=6*5+6*7`

`\implies 30+42=6(5+7)`