If x ( 3 - 2/x ) = 3/x, then the value of x^3 - 1x^3 is equal to:

Answer: Option C

$$\begin{array}{rl}& x\left(3-\frac{2}{x}\right)=\frac{3}{x}\\ & 3x-2=\frac{3}{x}\\ & 3\left(x-\frac{1}{x}\right)=2\\ & x-\frac{1}{x}=\frac{2}{3}\\ & x^3-\frac{1}{x^3}={\left(\frac{2}{3}\right)}^3+3\times \frac{2}{3}\\ & x^3-\frac{1}{x^3}=\frac{8}{27}+2\\ & x^3-\frac{1}{x^3}=\frac{62}{27}\end{array}$$