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

question 26

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { 1 } { a ^ { 2 } - x ^ { 2 } }$

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

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