Multiply and Simplify $\frac { x + 2 } { x - 2 } \cdot \frac { 2 x ^ { 2 } - 3 x - 2 } { 3 x ^ { 2 } + 22 x - 16 } \cdot \frac { x ^ { 2 } - 64 } { x ^ { 2 } + 9 x + 14 }$

question 139

Multiple Choice

Multiply and simplify. $\frac { x + 2 } { x - 2 } \cdot \frac { 2 x ^ { 2 } - 3 x - 2 } { 3 x ^ { 2 } + 22 x - 16 } \cdot \frac { x ^ { 2 } - 64 } { x ^ { 2 } + 9 x + 14 }$

• A) \(\frac { ( 2 x - 1 ) ( x - 2 ) } { ( 3 x + 2 ) ( x + 8 ) } , x \neq - 2 , x \neq \pm 8\)
• B) \(\frac { ( 2 x + 1 ) ( x + 7 ) } { ( 3 x - 2 ) ( x + 2 ) } , x \neq - 2 , x \neq \frac { 2 } { 3 }\)
• C) \(\frac { ( 2 x + 1 ) ( x + 8 ) } { ( 3 x + 2 ) ( x + 2 ) } , x \neq - 2 , x \neq - \frac { 2 } { 3 }\)
• D) \(\frac { ( 2 x + 1 ) ( x - 8 ) } { ( 3 x - 2 ) ( x + 7 ) } , x \neq - 8 , x \neq \pm 2\)
• E) \(\frac { ( 2 x - 1 ) ( x - 2 ) } { ( 3 x - 2 ) ( x + 7 ) } , x \neq - 7 , x \neq \frac { 2 } { 3 }\)

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Definitions:

Eye-Movement Desensitization Reprocessing

A psychotherapy treatment designed to alleviate the distress associated with traumatic memories through guided eye movements.

Post-Traumatic Stress Disorder

A mental health condition triggered by experiencing or witnessing a terrifying event, characterized by flashbacks, nightmares, severe anxiety, and uncontrollable thoughts about the event.

Gestalt Therapy

Form of directive insight therapy in which the therapist helps clients accept all parts of their feelings and subjective experiences, using leading questions and planned experiences such as role playing.

Directive

An instruction, command, or principle intended to guide actions or behavior.