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

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) $\frac { 2 } { x - 2 } - \frac { 4 } { ( x - 2 ) ^ { 2 } }$