Expand the Expression Using the Binomial Theorem $( x + 1 ) ^ { 6 }$

question 149

Multiple Choice

Expand the expression using the Binomial Theorem.
- $( x + 1 ) ^ { 6 }$

• A) \(x ^ { 6 } + 6 x ^ { 5 } + 15 x ^ { 4 } + 20 x ^ { 3 } + 15 x ^ { 2 } + 6 x + 6\)
• B) \(x ^ { 6 } + 6 x ^ { 5 } + 15 x ^ { 4 } + 20 x ^ { 3 } + 15 x ^ { 2 } + 6 x + 1\)
• C) \(x ^ { 6 } + 6 x ^ { 5 } + 30 x ^ { 4 } + 120 x ^ { 3 } + 30 x ^ { 2 } + 6 x + 1\)
• D) \(x ^ { 6 } + 6 x ^ { 5 } + 30 x ^ { 4 } + 120 x ^ { 3 } + 360 x ^ { 2 } + 720 x + 720\)

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Definitions:

Sigmund Freud

Sigmund Freud was an Austrian neurologist and the founder of psychoanalysis, a method for treating psychopathology through dialogue between a patient and a psychoanalyst.

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A pioneering American psychologist and philosopher known for his contributions to pragmatism and functional psychology.

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A philosophical theory that knowledge comes primarily from sensory experience, emphasizing the role of observation and experimentation in the formation of ideas.

Structuralism

An approach in psychology and other social sciences that emphasizes analyzing elements of human culture, behavior, and mind through the underlying structures that govern them.