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:

Implied-in-Law Condition

A legally imposed condition in a contractual agreement, not explicitly stated, created to ensure fairness and justice, often derived from the nature of the agreement or parties' intentions.

Substantially Performed

A term indicating that the major and necessary tasks of a contract have been completed, even if minor details may have been omitted.

Commercial Impracticability

A legal defense that excuses the performance of a contract due to unforeseen and uncontrollable circumstances that make fulfillment excessively burdensome or impossible.

Financially Unsound Contract

A contract deemed as high-risk due to the financial instability or inability of one or more parties to fulfill their obligations.