Write the Partial Fraction Decomposition of the Rational Expression $\frac { 1 } { 25 x ^ { 2 } - 36 }$

question 40

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { 1 } { 25 x ^ { 2 } - 36 }$

• A) \(\frac { 1 } { 12 } \left( \frac { 12 } { 5 x - 6 } - \frac { 12 } { 5 x + 6 } \right)\)
• B) \(\frac { 1 } { 5 x - 6 } - \frac { 1 } { 5 x + 6 }\)
• C) \(\frac { 1 } { 12 } \left( \frac { 1 } { 5 x - 6 } + \frac { 1 } { 5 x + 6 } \right)\)
• D) \(\frac { 1 } { 12 } \left( \frac { 12 A } { 5 x - 6 } - \frac { 12 B } { 5 x + 6 } \right)\)
• E) \(\frac { 1 } { 12 } \left( \frac { 1 } { 5 x - 6 } - \frac { 1 } { 5 x + 6 } \right)\)

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