Perform the Indicated Operation $\frac { 4 x - 1 } { x ^ { 2 } - 3 x - 10 } - \frac { x } { x ^ { 2 } - 4 }$

question 172

Multiple Choice

Perform the indicated operation. Simplify, if possible. $\frac { 4 x - 1 } { x ^ { 2 } - 3 x - 10 } - \frac { x } { x ^ { 2 } - 4 }$

• A) \(\frac { 3 x - 1 } { ( x - 5 ) ( x + 2 ) ( x - 2 ) }\)
• B) \(\frac { 3 x ^ { 2 } - 14 x + 2 } { ( x - 5 ) ( x + 2 ) ( x - 2 ) }\)
• C) \(\frac { 3 x ^ { 2 } - 4 x + 2 } { ( x - 5 ) ( x + 2 ) ( x - 2 ) }\)
• D) \(\frac { 3 x - 1 } { ( x - 5 ) ( x + 2 ) }\)

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Definitions:

Personality Disorders

A group of mental health conditions characterized by enduring patterns of behavior, cognition, and inner experience that deviate significantly from the expectations of the individual's culture.

Childhood

The period in human life from birth to the onset of puberty, characterized by growth, development, and learning.

Somatoform Disorders

A group of psychological disorders in which patients experience physical symptoms that are inconsistent with or cannot be fully explained by any underlying medical or neurological condition.

Psychodynamic View

A psychological perspective that emphasizes unconscious processes and childhood experiences in shaping personality and behavior.