Verified Answer :

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

Answer:

Option C.

Step-by-step explanation:

The given expression is

\(\dfrac{2}{3}x+4\)

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

The given expression can be rewritten as

\(\dfrac{2}{3}x+(\dfrac{2}{3}\times \dfrac{3}{2})\times 4\)

\(\dfrac{2}{3}x+\dfrac{2}{3}(6)\)

It is clear that \(\frac{2}{3}\) is common.

Taking out common factors, we get

\(\dfrac{2}{3}(x+6)\)

It is the factored form of the given expression.

Hence, the correct option is C.