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

question 13

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:

Strategic Failure

The inability of an organization to achieve its strategic objectives due to flawed planning, execution, or external factors.

The Reactor

A strategy used by organizations that only respond to environmental changes or pressures rather than anticipating them or actively seeking to influence them.

The Prospector

A type of strategic business model focused on innovation, exploring new markets, and seeking out new opportunities, often characterized by flexibility and a willingness to take risks.

Defender Strategy

a business strategy focused on maintaining current markets and customers, often by focusing on product improvement and maintaining a stable growth rate.