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

question 14

Multiple Choice

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

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