Find the Partial Fraction Decomposition for the Rational Expression $\frac { x ^ { 2 } } { x ^ { 2 } + 6 x + 9 }$

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $\frac { x ^ { 2 } } { x ^ { 2 } + 6 x + 9 }$

A) $1 + \frac { - 6 } { x + 3 } + \frac { 9 } { ( x + 3 ) ^ { 2 } }$
B) $1 + \frac { 6 } { x + 3 } + \frac { - 9 } { ( x + 31 ) ^ { 2 } }$
C) $\frac { 6 } { x + 3 } + \frac { - 6 } { ( x + 3 ) ^ { 2 } }$
D) $\frac { - 6 } { x + 3 } + \frac { 9 } { ( x + 3 ) ^ { 2 } }$