Use the Binomial Theorem to Expand and Simplify the Expression $( r + 5 s ) ^ { 6 }$

question 405

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( r + 5 s ) ^ { 6 }$

• A) \(r ^ { 6 } + 30 s r ^ { 5 } + 375 s ^ { 2 } r ^ { 4 } + 2500 s ^ { 3 } r ^ { 3 } + 9375 s ^ { 4 } r ^ { 2 } + 18750 s ^ { 5 } r - 15625 s ^ { 6 }\)
• B) \(r ^ { 6 } - 30 s r ^ { 5 } + 375 s ^ { 2 } r ^ { 4 } + 2500 s ^ { 3 } r ^ { 3 } + 9375 s ^ { 4 } r ^ { 2 } + 18750 s ^ { 5 } r + 15625 s ^ { 6 }\)
• C) \(r ^ { 6 } + 30 s r ^ { 5 } + 375 s ^ { 2 } r ^ { 4 } - 2500 s ^ { 3 } r ^ { 3 } + 9375 s ^ { 4 } r ^ { 2 } + 18750 s ^ { 5 } r + 15625 s ^ { 6 }\)
• D) \(r ^ { 6 } - 30 s r ^ { 5 } - 375 s ^ { 2 } r ^ { 4 } - 2500 s ^ { 3 } r ^ { 3 } - 9375 s ^ { 4 } r ^ { 2 } - 18750 s ^ { 5 } r - 15625 s ^ { 6 }\)
• E) \(r ^ { 6 } + 30 s r ^ { 5 } + 375 s ^ { 2 } r ^ { 4 } + 2500 s ^ { 3 } r ^ { 3 } + 9375 s ^ { 4 } r ^ { 2 } + 18750 s ^ { 5 } r + 15625 s ^ { 6 }\)

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Definitions:

Tulving's View

Refers to Endel Tulving's perspective on memory systems, dividing human memory into episodic and semantic memories, with episodic involving personal experiences and semantic involving facts and concepts.

Accessible

Easily approached or entered; available when required or as needed.

Reconstruction

The process of rebuilding or reforming an entity, system, or structure, often after it has been damaged or demolished.

Long-Term Memory

A type of memory capable of storing information for an extended period, often throughout one's lifetime.