Find the Partial Fraction Decomposition for the Rational Expression $\frac { 560 x ^ { 2 } + 320 x } { \left( x ^ { 2 } + 4 \right) ( x + 6 ) }$

question 326

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $\frac { 560 x ^ { 2 } + 320 x } { \left( x ^ { 2 } + 4 \right) ( x + 6 ) }$

• A) \(\frac { 104 x + 456 } { x ^ { 2 } + 4 } + \frac { - 304 } { x + 6 }\)
• B) \(\frac { 104 x } { x + 6 } + \frac { 152 } { x ^ { 2 } + 4 }\)
• C) \(\frac { 104 x - 304 } { x ^ { 2 } + 4 } + \frac { - 456 } { x + 6 }\)
• D) \(\frac { 104 x - 304 } { x ^ { 2 } + 4 } + \frac { 456 } { x + 6 }\)

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