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

question 93

Multiple Choice

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

• A) \(\frac { x ^ { 2 } - 3 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)
• B) \(\frac { x ^ { 2 } - 3 x + 16 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)
• C) \(\frac { x ^ { 2 } - 3 x + 16 } { ( x - 4 ) ( x + 4 ) }\)
• D) \(\frac { x ^ { 2 } + 3 x + 16 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)

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Definitions:

Hierarchy

An arrangement or institution where individuals or sectors are hierarchically positioned above each other based on their level of power or prestige.

Cognitive Needs

Psychological requirements of individuals that drive their desire to acquire knowledge, understanding, and rationality.

Innate Needs

Fundamental psychological or physiological needs that are born with an individual, determining motivations and behaviors.

Prestige Needs

The desire for esteem, respect, and admiration from others, considered as part of higher-level needs in Maslow's hierarchy.