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:

Game-Theory

A mathematical framework used for analyzing situations in which players make strategic decisions that affect the outcomes of all participants.

Games-Of-Chance

Activities in which outcomes are determined primarily by random factors, usually for gambling or entertainment purposes.

Oligopoly Behavior

Market behavior characterized by a small number of firms dominating a market, where each firm's decisions impact the others, often leading to strategic pricing and output decisions.

Sequential Game

A strategic interaction (game) between two or more parties (players) in which each party moves (makes a decision) in a predetermined order (sequence).