Perform the Indicated Operation $\frac { x } { x ^ { 2 } - 16 } - \frac { 5 } { x ^ { 2 } + 5 x + 4 }$

question 20

Multiple Choice

Perform the indicated operation. Simplify if possible.
- $\frac { x } { x ^ { 2 } - 16 } - \frac { 5 } { x ^ { 2 } + 5 x + 4 }$

• A) \(\frac { x ^ { 2 } - 4 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)
• B) \(\frac { x ^ { 2 } - 4 x + 20 } { ( x - 4 ) ( x + 4 ) }\)
• C) \(\frac { x ^ { 2 } - 4 x + 20 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)
• D) \(\frac { x ^ { 2 } + 4 x + 20 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)

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Definitions:

Judith Butler

An American philosopher and gender theorist who has significantly contributed to the fields of feminism, queer theory, political philosophy, and ethics.

Gender

Social and cultural distinctions and roles associated with being male, female, or a different gender, going beyond mere biological or physiological differences.

Prosumption Theory

A concept in consumer studies that blurs the distinction between production and consumption, indicating that consumers increasingly participate in the production of the goods or services they consume.

Production

pertains to the processes and methods involved in the creation of goods and services.