Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 6 x ^ { 3 } - 33 x ^ { 2 } + 51 x - 13 } { ( x - 2 ) ^ { 3 } ( x + 3 ) }$$

Find the partial fraction decomposition for the rational expression.
- $$\frac { 6 x ^ { 3 } - 33 x ^ { 2 } + 51 x - 13 } { ( x - 2 ) ^ { 3 } ( x + 3 ) }$$

A) $\frac { 1 } { x - 2 } + \frac { - 1 } { ( x - 2 ) ^ { 2 } } + \frac { 2 } { ( x - 2 ) ^ { 3 } } + \frac { - 1 } { x + 3 }$
B) $\frac { 1 } { x - 2 } + \frac { 2 } { ( x - 2 ) ^ { 2 } } + \frac { 1 } { ( x - 2 ) ^ { 3 } } + \frac { 5 } { x + 3 }$
C) $\frac { 1 } { x - 2 } + \frac { - 2 } { ( x - 2 ) ^ { 2 } } + \frac { 1 } { ( x - 2 ) ^ { 3 } } + \frac { 5 } { x + 3 }$
D) $\frac { 5 } { x - 2 } + \frac { - 1 } { ( x - 2 ) ^ { 2 } } + \frac { - 2 } { ( x - 2 ) ^ { 3 } } + \frac { 1 } { x + 3 }$

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