Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 4 x ^ { 3 } - 22 x ^ { 2 } + 33 x - 6 } { ( x - 2 ) ^ { 3 } ( x + 2 ) }$$

Find the partial fraction decomposition for the rational expression.
- $$\frac { 4 x ^ { 3 } - 22 x ^ { 2 } + 33 x - 6 } { ( x - 2 ) ^ { 3 } ( x + 2 ) }$$

A) $\frac { 1 } { x - 2 } + \frac { 2 } { ( x - 2 ) ^ { 2 } } + \frac { 1 } { ( x - 2 ) ^ { 3 } } + \frac { 3 } { x + 2 }$

B) $\frac { 3 } { x - 2 } + \frac { - 1 } { ( x - 2 ) ^ { 2 } } + \frac { - 2 } { ( x - 2 ) ^ { 3 } } + \frac { 1 } { x + 2 }$

C) $\frac { 1 } { x - 2 } + \frac { - 2 } { ( x - 2 ) ^ { 2 } } + \frac { 1 } { ( x - 2 ) ^ { 3 } } + \frac { 3 } { x + 2 }$

D) $\frac { 1 } { x - 2 } + \frac { - 1 } { ( x - 2 ) ^ { 2 } } + \frac { 2 } { ( x - 2 ) ^ { 3 } } + \frac { - 1 } { x + 2 }$

Correct Answer:

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