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

Question 150

Multiple Choice

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


A) 4x+2x2+5+20x10(x2+5) 2\frac { 4 x + 2 } { x ^ { 2 } + 5 } + \frac { - 20 x - 10 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }
B) 4x2x2+5+20x+10(x2+5) 2\frac { 4 x - 2 } { x ^ { 2 } + 5 } + \frac { - 20 x + 10 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }
C) 4x+2x2+5+20x+10(x2+5) 2\frac { 4 x + 2 } { x ^ { 2 } + 5 } + \frac { 20 x + 10 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }
D) 4x+2x2+5+20x10(x2+5) 2\frac { 4 x + 2 } { x ^ { 2 } + 5 } + \frac { 20 x - 10 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }

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