question_answer

The partial fraction of \[\frac{{{x}^{2}}}{{{(x-1)}^{3}}(x-2)}\]   are

A)  \[\frac{-1}{{{(x-1)}^{3}}}+\frac{3}{{{(x-1)}^{2}}}-\frac{4}{(x-1)}+\frac{4}{(x-2)}\]

B)  \[\frac{-1}{{{(x-1)}^{3}}}-\frac{3}{{{(x-1)}^{2}}}+\frac{4}{(x-1)}+\frac{4}{(x-2)}\]

C)  \[\frac{-1}{{{(x-1)}^{3}}}+\frac{-3}{{{(x-1)}^{2}}}+\frac{-4}{(x-1)}+\frac{4}{(x-2)}\]

D)  All of these

E)  None of these