Find the Least Common Denominator of the Rational Expressions $\frac { 15 } { x ^ { 2 } + 2 x - 15 }$

question 28

Multiple Choice

Find the least common denominator of the rational expressions.
- $\frac { 15 } { x ^ { 2 } + 2 x - 15 }$ and $\frac { 4 x - 20 } { - 4 x - 20 }$

• A) \(- 4 ( x - 3 ) ( x - 5 )\)
• B) \(- 4 ( x - 3 ) ( x + 5 )\)
• C) \(- 4 ( x + 3 ) ( x - 5 )\)
• D) \(- 4 ( x + 3 ) ( x + 5 )\)

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Definitions:

Relapse Prevention

A strategy in addiction treatment and mental health that involves identifying and managing high-risk situations and triggers to prevent a return to unhealthy behaviors.

High Risk Situations

Scenarios or conditions that significantly increase the likelihood of engaging in behaviors that can lead to negative consequences, such as substance use or relapse.

Coping Strategies

Techniques or methods used to manage stress, emotional pain, or challenging situations.

Psychoanalysis

A therapeutic approach developed by Freud that aims to explore unconscious conflicts and drives influencing behavior.