question_answer

Find the coefficient of \[{{x}^{3}}\] in the expansion of \[\left( 1+x+2{{x}^{2}} \right){{\left( 2{{x}^{2}}-\frac{1}{3x} \right)}^{9}}\]

A)  \[-\frac{143}{13}\]       

B)  \[-\frac{224}{29}\]

C)  \[-\frac{161}{27}\]       

D)  \[-\frac{224}{27}\]