Factor the Sum or Difference of Two Cubes $64 p ^ { 3 } - 1$

question 98

Multiple Choice

Factor the sum or difference of two cubes.
- $64 p ^ { 3 } - 1$

• A) \(( 4 p - 1 ) \left( 16 p ^ { 2 } + 1 \right)\)
• B) \(( 64 p - 1 ) \left( p ^ { 2 } + 4 p + 1 \right)\)
• C) \(( 4 p - 1 ) \left( 16 p ^ { 2 } + 4 p + 1 \right)\)
• D) \(( 4 p + 1 ) \left( 16 p ^ { 2 } - 4 p + 1 \right)\)

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Definitions:

Schizotypal Personality Disorder

A psychiatric syndrome featuring pronounced anxiety in social contexts, muddled thinking, paranoid tendencies, a sensation of being unreal, fleeting psychotic moments, and often distinctive beliefs.

DSM-5

The Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition, a comprehensive classification system for mental disorders developed by the American Psychiatric Association.

Schizophrenia Spectrum Disorders

A range of disorders characterized by symptoms such as delusions, hallucinations, disorganized speech, and cognitive impairment.

Personality Disorders

Mental health conditions characterized by patterns of thought, feeling, and behavior that are significantly different from what is considered normal, causing distress or impaired functioning.