Factor the Expression $( x - 2 ) ^ { 7 / 2 } - ( x - 2 ) ^ { 3 / 2 }$

question 103

Multiple Choice

Factor the expression. $( x - 2 ) ^ { 7 / 2 } - ( x - 2 ) ^ { 3 / 2 }$

• A) \(( x - 2 ) ^ { 2 } ( x - 1 ) ( x - 3 )\)
• B) \(( x - 2 ) ( x - 1 ) ( x + 3 )\)
• C) \(( x - 2 ) ^ { 3 / 2 } ( x + 1 ) ( x - 3 )\)
• D) \(( x - 2 ) ^ { 1 / 2 } ( x - 1 ) ( x - 3 )\)
• E) \(( x - 2 ) ^ { 3 / 2 } ( x - 1 ) ( x - 3 )\)

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Definitions:

Counterconditioning

A therapeutic technique used to replace an unwanted response to a stimulus with a desired response, often used in behavior therapy.

Virtual Reality Exposure

A therapeutic technique using virtual reality technology to simulate real-world environments for the purpose of treatment, especially in phobias and anxiety disorders.

Unconditional Positive Regard

A non-judgmental acceptance and support of a person regardless of what the person says or does, often used in therapeutic settings.

Classical Conditioning

A method of learning by linking an environmental trigger with a naturally existing stimulus, which brings about a learned behavior.