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Find the Partial Fraction Decomposition Of 4x34x2+4x\frac { 4 } { x ^ { 3 } - 4 x ^ { 2 } + 4 x }

Question 92

Multiple Choice

Find the partial fraction decomposition of 4x34x2+4x\frac { 4 } { x ^ { 3 } - 4 x ^ { 2 } + 4 x }


A) 14x+18(x2) +18(x+2) - \frac { 1 } { 4 x } + \frac { 1 } { 8 ( x - 2 ) } + \frac { 1 } { 8 ( x + 2 ) }

B) 12x2(x2) +4(x2) 2\frac { 1 } { 2 x } - \frac { 2 } { ( x - 2 ) } + \frac { 4 } { ( x - 2 ) ^ { 2 } }

C) 1x+2(x2) 1(x+2) - \frac { 1 } { x } + \frac { 2 } { ( x - 2 ) } - \frac { 1 } { ( x + 2 ) }

D) 1x1(x2) +2(x2) 2\frac { 1 } { x } - \frac { 1 } { ( x - 2 ) } + \frac { 2 } { ( x - 2 ) ^ { 2 } }

E) none

Correct Answer:

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