Answer:
(C)7b
Step-by-step explanation:
Given the expression:
[tex]\dfrac{7}{3}ab-\dfrac{7}{6}b[/tex]
Let us factor the expression:
[tex]=\dfrac{7b}{3}\left(a-\dfrac{1}{2}\right)[/tex]
Since we need the greatest common factor, we can rewrite the expression as:
[tex]7b\left(\dfrac{1}{3}a-\dfrac{1}{6}\right)[/tex]
Therefore, the greatest common factor is 7b.
The correct option is C.
