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

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) $\frac { 1 } { 12 } \left( \frac { 1 } { 5 x - 6 } - \frac { 1 } { 5 x + 6 } \right)$