Use the Binomial Theorem to Expand the Expression $( 4 x + 1 ) ^ { 5 }$

question 5

Multiple Choice

Use the binomial theorem to expand the expression.
- $( 4 x + 1 ) ^ { 5 }$

• A) \(1024 x ^ { 5 } + 1\)
• B) \(1024 x ^ { 5 } + 256 x ^ { 4 } + 64 x ^ { 3 } + 16 x ^ { 2 } + 4 x + 1\)
• C) \(1024 x ^ { 5 } + 20 x ^ { 4 } + 160 x ^ { 3 } + 160 x ^ { 2 } + 20 x + 1\)
• D) \(1024 x ^ { 5 } + 1280 x ^ { 4 } + 640 x ^ { 3 } + 160 x ^ { 2 } + 20 x + 1\)

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Definitions:

Schizophrenic

Relating to schizophrenia, a severe mental disorder characterized by distortions in thinking, perception, emotions, language, sense of self, and behavior.

Dissociative Disorder

Dissociative Disorder refers to a spectrum of mental disorders characterized by disconnection and lack of continuity between thoughts, memories, surroundings, actions, and identity.

Fugue

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Phobia

An intense, irrational fear of specific objects, activities, or situations that leads to avoidance behavior.