Write the Partial Fraction Decomposition of the Rational Expression $\frac { 1 } { x ^ { 2 } - 16 }$

question 39

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically.​ $\frac { 1 } { x ^ { 2 } - 16 }$ ​

• A) \(\frac { 1 } { 8 } \left( \frac { A } { x - 4 } - \frac { B } { x + 4 } \right)\)
• B) \(\frac { 8 } { x - 4 } - \frac { 8 } { x + 4 }\)
• C) \(\frac { 1 } { 8 } \left( \frac { 8 } { x - 4 } - \frac { 8 } { x + 4 } \right)\)
• D) \(\frac { 1 } { 8 } \left( \frac { 1 } { x - 4 } - \frac { 1 } { x + 4 } \right)\)
• E) \(\frac { 1 } { 8 } \left( \frac { 1 } { x - 4 } + \frac { 1 } { x + 4 } \right)\)

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