Write the Partial Fraction Decomposition of the Rational Expression $\frac { 3 x ^ { 3 } + 3 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

question 203

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 3 x ^ { 3 } + 3 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

• A) \(\frac { 3 x - 3 } { x ^ { 2 } + 5 } + \frac { - 15 x + 15 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• B) \(\frac { 3 x + 3 } { x ^ { 2 } + 5 } + \frac { 15 x - 15 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• C) \(\frac { 3 x + 3 } { x ^ { 2 } + 5 } + \frac { 15 x + 15 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• D) \(\frac { 3 x + 3 } { x ^ { 2 } + 5 } + \frac { - 15 x - 15 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)

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