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

question 304

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) \(\frac { - 6 } { x + 3 } + \frac { 9 } { ( x + 3 ) ^ { 2 } }\)

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