Question

Which expression is the factored form of 2/3x+4 ?

2/3(x+12)

1/3(2x+6)

2/3(x+6)

2/3(x+4)

Answer 1

2/3(x+6) is the correct answer

Answer 2

Option C.

Explanation:

The given expression is

`(2)/(3)x+4`

We need to find the factored form of the given expression.

The given expression can be rewritten as

`(2)/(3)x+((2)/(3)* (3)/(2))* 4`

`(2)/(3)x+(2)/(3)(6)`

It is clear that
`(2)/(3)` is common.

Taking out common factors, we get

`(2)/(3)(x+6)`

It is the factored form of the given expression.

Hence, the correct option is C.