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

question 15

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

---

Definitions:

External Costs

Costs incurred by third parties who are not involved in a transaction, often leading to market failure if not properly accounted for.

Perfect Information

A market condition where all participants have complete and identical information about the product, including its price and quality.

Minimum Imposed Price

An external intervention (usually by the government) to set a price floor, preventing the market price from falling below a certain level.

Consumers

Individuals or groups that purchase goods or services for personal use.