Find the Indicated Term of the Binomial Expansion $( x - y ) ^ { 11 } ;$

question 261

Multiple Choice

Find the indicated term of the binomial expansion.
- $( x - y ) ^ { 11 } ;$ sixth term

• A) \(- 462 x ^ { 6 } y ^ { 5 }\)
• B) \(- 462 x ^ { 5 } y ^ { 6 }\)
• C) \(462 x ^ { 5 } y ^ { 6 }\)
• D) \(462 x ^ { 6 } y ^ { 5 }\)

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Definitions:

Carbohydrates

Organic substances such as sugars, starches, and fibers, which are vital energy sources in our diet.

Inorganic Compounds

Chemical substances that do not contain both carbon and hydrogen, exhibiting a wide range of physical and chemical properties.

Metabolism

The chemical processes within a living organism that are necessary for maintaining life, involving energy production and utilization.

Complex Carbohydrates

Carbohydrates consisting of long chains of glucose molecules, including starches and dietary fiber, which digest slower compared to simple carbohydrates.