Write the Partial Fraction Decomposition of the Rational Expression $\frac { 1 } { ( x + 1 ) ( a - x ) }$

question 27

Multiple Choice

Write the partial fraction decomposition of the rational expression.​ $\frac { 1 } { ( x + 1 ) ( a - x ) }$ ​

• A) \(\frac { 1 } { a + 1 } \left( \frac { 1 } { x + 1 } - \frac { 1 } { a - x } \right)\)
• B) \(\frac { 1 } { a + 1 } \left( \frac { 1 } { x + 1 } + \frac { 1 } { x } \right)\)
• C) \(\frac { 1 } { a } \left( \frac { 1 } { x + 1 } + \frac { 1 } { a - x } \right)\)
• D) \(\frac { 1 } { a + 1 } \left( \frac { 1 } { x + 1 } + \frac { 1 } { a - x } \right)\)
• E) \(\frac { 1 } { a + 1 } \left( \frac { 1 } { x + 1 } - \frac { 1 } { a + x } \right)\)

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