Write the Partial Fraction Decomposition of the Rational Expression $\frac { 1 } { 100 x ^ { 2 } - 81 }$

question 55

Multiple Choice

Write the partial fraction decomposition of the rational expression.
$\frac { 1 } { 100 x ^ { 2 } - 81 }$

• A) \(\frac { 1 } { 18 } \left( \frac { x - 10 } { 10 x - 9 } - \frac { x - 10 } { 10 x + 9 } \right)\)
• B) \(\frac { 1 } { 100 x ^ { 2 } } - \frac { 1 } { 81 }\)
• C) \(\frac { 1 } { 18 } \left( \frac { 1 } { 10 x - 9 } - \frac { 1 } { 10 x + 9 } \right)\)
• D) \(\frac { 1 } { 9 } \left( \frac { 1 } { 10 x + 9 } - \frac { 1 } { 10 x - 9 } \right)\)
• E) \(\frac { 1 } { 9 } \left( \frac { 1 } { 10 x - 9 } - \frac { 1 } { 10 x + 9 } \right)\)

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