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Write the Partial Fraction Decomposition of the Rational Expression 2x3+4x2(x2+5)2\frac { 2 x ^ { 3 } + 4 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }

Question 117

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 2x3+4x2(x2+5) 2\frac { 2 x ^ { 3 } + 4 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }


A) 2x+4x2+5+10x20(x2+5) 2\frac { 2 x + 4 } { x ^ { 2 } + 5 } + \frac { 10 x - 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }
B) 2x4x2+5+10x+20(x2+5) 2\frac { 2 x - 4 } { x ^ { 2 } + 5 } + \frac { - 10 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }
C) 2x+4x2+5+10x20(x2+5) 2\frac { 2 x + 4 } { x ^ { 2 } + 5 } + \frac { - 10 x - 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }
D) 2x+4x2+5+10x+20(x2+5) 2\frac { 2 x + 4 } { x ^ { 2 } + 5 } + \frac { 10 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }

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