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

Question 27

Multiple Choice

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


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

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