If $\large\frac{x^3}{(2x-1)(x+2)(x-3)}$$=A+\large\frac{B}{2x-1}+\frac{C}{x+2}+\frac{D}{x-3}$ then A is equal to :

Question

$$\begin {array} {1 1} (a)\;\frac{1}{2} & \quad (b)\;-\frac{1}{50} \\ (c)\;\frac{8}{25}& \quad (d)\;\frac{27}{25} \end {array}$$