Factor Completely $$27 a ^ { 3 } - 64 b ^ { 3 }$$

question 143

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$27 a ^ { 3 } - 64 b ^ { 3 }$$

• A) \(\left( 3 a + 4 b ^ { 2 } \right) \left( 9 a ^ { 2 } - 12 a b + 16 b ^ { 2 } \right)\)
• B) \(( 3 a - 4 b ) \left( 9 a ^ { 2 } + 16 b ^ { 2 } \right)\)
• C) \(( 3 a - 4 b ) \left( 9 a ^ { 2 } + 12 a b + 16 b ^ { 2 } \right)\)
• D) \(( 27 a - 4 b ) \left( a ^ { 2 } + 12 a b + 16 b ^ { 2 } \right)\)

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Definitions:

Object Relations Therapists

Mental health professionals who focus on relationships and the ways mental representations of self and others influence emotions and behavior.

Gestalt Therapists

Gestalt Therapists specialize in Gestalt therapy, a form of psychotherapy emphasizing personal responsibility and focusing on the individual's experience in the present moment, the therapist-client relationship, the environmental and social contexts of a person's life, and the self-regulating adjustments people make as a result of their overall situation.

Role-Playing

A technique involving acting out roles, often used in therapy and education to teach social skills or simulate situations.

Sociocultural Model

A theory used in psychology that examines how social and cultural factors influence an individual's behavior and mental processes.