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Write the Partial Fraction Decomposition of the Rational Expression 125x2−36\frac { 1 } { 25 x ^ { 2 } - 36 }

Question 15

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically.​ 125x2−36\frac { 1 } { 25 x ^ { 2 } - 36 } ​


A) 112(125x−6−125x+6) \frac { 1 } { 12 } \left( \frac { 12 } { 5 x - 6 } - \frac { 12 } { 5 x + 6 } \right)
B) 15x−6−15x+6\frac { 1 } { 5 x - 6 } - \frac { 1 } { 5 x + 6 }
C) 112(15x−6+15x+6) \frac { 1 } { 12 } \left( \frac { 1 } { 5 x - 6 } + \frac { 1 } { 5 x + 6 } \right)
D) 112(12A5x−6−12B5x+6) \frac { 1 } { 12 } \left( \frac { 12 A } { 5 x - 6 } - \frac { 12 B } { 5 x + 6 } \right)
E) 112(15x−6−15x+6) \frac { 1 } { 12 } \left( \frac { 1 } { 5 x - 6 } - \frac { 1 } { 5 x + 6 } \right)

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