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Write the Partial Fraction Decomposition of the Rational Expression 2x(x2)2\frac { 2 x } { ( x - 2 ) ^ { 2 } }

Question 14

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically.​ 2x(x2) 2\frac { 2 x } { ( x - 2 ) ^ { 2 } }


A) 2x24x2\frac { 2 } { x - 2 } - \frac { 4 } { x - 2 }
B) 2x2+4(x2) 2\frac { 2 } { x - 2 } + \frac { 4 } { ( x - 2 ) ^ { 2 } }
C) 2x2+2x2\frac { 2 } { x - 2 } + \frac { 2 } { x - 2 }
D) 2x2+4(x2) 3\frac { 2 } { x - 2 } + \frac { 4 } { ( x - 2 ) ^ { 3 } }
E) 2x24(x2) 2\frac { 2 } { x - 2 } - \frac { 4 } { ( x - 2 ) ^ { 2 } }

Correct Answer:

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