Find the Specified Nth Term in the Expansion of the Binomial

question 13

Multiple Choice

Find the specified nth term in the expansion of the binomial. $( 4 x + 5 y ) ^ { 6 } , n = 4$

• A) \(240 x ^ { 2 } y ^ { 4 }\)
• B) \(160,000 x ^ { 3 } y ^ { 3 }\)
• C) \(15 x ^ { 2 } y ^ { 4 }\)
• D) \(15,625 y ^ { 6 }\)
• E) \(360 x ^ { 2 } y ^ { 4 }\)

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Definitions:

Subjective Experiences

Personal, individual experiences and perceptions that are influenced by one's own mental and emotional processes, rather than external, objective factors.

Scientific Method

A systematic process used for investigating phenomena, acquiring new knowledge, or correcting and integrating previous knowledge.

Evolutionary Psychology

A method within the social and natural sciences focusing on analyzing the mental constitution from a current evolutionary standpoint.

Functionalism

A theory in psychology that focuses on the purpose mental processes serve in enabling people to adapt to their environment.