Use the Binomial Theorem to Expand and Simplify the Expression $( s - 1 ) ^ { 5 }$

question 59

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( s - 1 ) ^ { 5 }$

• A) \(s ^ { 5 } - 5 s ^ { 4 } + 10 s ^ { 3 } - 10 s ^ { 2 } + 5 s\)
• B) \(s ^ { 4 } - 4 s ^ { 3 } + 6 s ^ { 2 } - 4 s + 1\)
• C) \(s ^ { 5 } - 5 s ^ { 4 } + 15 s ^ { 3 } - 15 s ^ { 2 } + 5 s - 1\)
• D) \(s ^ { 5 } - 4 s ^ { 4 } + 9 s ^ { 3 } - 9 s ^ { 2 } + 4 s - 1\)
• E) \(s ^ { 5 } - 5 s ^ { 4 } + 10 s ^ { 3 } - 10 s ^ { 2 } + 5 s - 1\)

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Definitions:

Life Span

The maximum extent of time one or members of a species can live under optimal conditions.

Adolescence

The transitional stage of human development that occurs between childhood and adulthood, characterized by physical, psychological, and social changes.

Schaie's Model

A developmental model that outlines the stages of cognitive development in adults, emphasizing life-span changes.

Post-formal

A stage of cognitive development succeeding Piaget's formal operational stage, characterized by the understanding that truth may vary from situation to situation and logic can be influenced by emotion.