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Write the Partial Fraction Decomposition of the Rational Expression 1a2−x2\frac { 1 } { a ^ { 2 } - x ^ { 2 } }

Question 44

Multiple Choice

Write the partial fraction decomposition of the rational expression.​ 1a2−x2\frac { 1 } { a ^ { 2 } - x ^ { 2 } } ​


A) 12a(1a+x−1a−x) \frac { 1 } { 2 a } \left( \frac { 1 } { a + x } - \frac { 1 } { a - x } \right)
B) aa+x+aa−x\frac { a } { a + x } + \frac { a } { a - x }
C) 12a(1a+x+1a−x) \frac { 1 } { 2 a } \left( \frac { 1 } { a + x } + \frac { 1 } { a - x } \right)
D) 12a(1a−x+1(a−x) 2) \frac { 1 } { 2 a } \left( \frac { 1 } { a - x } + \frac { 1 } { ( a - x ) ^ { 2 } } \right)
E) 1a(1a+x+1a−x) \frac { 1 } { a } \left( \frac { 1 } { a + x } + \frac { 1 } { a - x } \right)

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