Find the Partial Fraction Decomposition Of $\frac { 4 } { x ^ { 3 } - 4 x ^ { 2 } + 4 x }$

question 92

Multiple Choice

Find the partial fraction decomposition of $\frac { 4 } { x ^ { 3 } - 4 x ^ { 2 } + 4 x }$

• A) \(- \frac { 1 } { 4 x } + \frac { 1 } { 8 ( x - 2 ) } + \frac { 1 } { 8 ( x + 2 ) }\)
• B) \(\frac { 1 } { 2 x } - \frac { 2 } { ( x - 2 ) } + \frac { 4 } { ( x - 2 ) ^ { 2 } }\)
• C) \(- \frac { 1 } { x } + \frac { 2 } { ( x - 2 ) } - \frac { 1 } { ( x + 2 ) }\)
• D) \(\frac { 1 } { x } - \frac { 1 } { ( x - 2 ) } + \frac { 2 } { ( x - 2 ) ^ { 2 } }\)
• E)none