Simplify the Rational Expression $$\frac { x ^ { 2 } + 5 x + 4 } { x ^ { 2 } + 7 x + 12 } \cdot \frac { x ^ { 2 } - 8 x + 15 } { x ^ { 2 } - 4 x - 5 }$$

question 113

Multiple Choice

Simplify the rational expression. (Assume the denominator is nonzero.)
- $$\frac { x ^ { 2 } + 5 x + 4 } { x ^ { 2 } + 7 x + 12 } \cdot \frac { x ^ { 2 } - 8 x + 15 } { x ^ { 2 } - 4 x - 5 }$$

• A) \(\frac { x - 3 } { x + 3 }\)
• B) \(- 1\)
• C) \(\frac { x + 3 } { x - 3 }\)
• D) 1

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Definitions:

Free Market

An economic system where prices for goods and services are determined by open market and competition, without intervention from government.

Unseen Forces

Hidden or not immediately apparent factors that can influence outcomes and processes in various contexts.

Psychoanalytic Approach

A psychological theory and therapeutic method developed by Sigmund Freud that emphasizes unconscious motives and conflicts as drivers of human behavior.

Deviant Behavior

Actions that violate established norms, values, or ethical standards within a society or organization, potentially causing harm or disruption.