which of the following is the quotient of rational expressions shown below?
[tex]\frac{3x-6}{x^{3} }[/tex] ÷ [tex]\frac{x-2}{2x-1}[/tex]

A. [tex]\frac{5x-2}{x^{3}+x-2 }[/tex]

B. [tex]\frac{6x-3}{x^{3} }[/tex]

C. [tex]\frac{3x^{2} -12x+12 }{2x^{4}-x^{3} }[/tex]

D. [tex]\frac{6x^{2} -15x+6 }{x^{4} -2x^{3} }[/tex]

E. [tex]\frac{4x-8}{x^{3} +2x-1}[/tex]