Find the Specified $n$ Th Term in the Expansion of the Binomial

question 97

Multiple Choice

Find the specified $n$ th term in the expansion of the binomial. (Write the expansion in descending powers of $x$ .)
$$( 2 x - 3 y ) ^ { 8 } , n = 5$$

• A) \(448 x ^ { 3 } y ^ { 5 }\)
• B) \(90,720 x ^ { 4 } y ^ { 4 }\)
• C) \(56 x ^ { 3 } y ^ { 5 }\)
• D) \(6561 y ^ { 8 }\)
• E) \(6720 x ^ { 3 } y ^ { 5 }\)

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Definitions:

Variables

factors or conditions that can change or vary within an experiment or study, potentially impacting the results.

Scientific Method

A systematic approach to investigation that includes observation, hypothesis formulation, experimentation, and conclusion to validate or modify the hypothesis.

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