Use the Binomial Theorem to Expand and Simplify the Expression $( a + 8 ) ^ { 4 }$

question 8

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( a + 8 ) ^ { 4 }$ ​

• A) \(a ^ { 4 } + 32 a ^ { 3 } + 384 a ^ { 2 } + 2048 a + 4096\)
• B) \(a ^ { 4 } - 32 a ^ { 3 } + 384 a ^ { 2 } + 2048 a + 4096\)
• C) \(a ^ { 4 } + 32 a ^ { 3 } + 512 a ^ { 2 } + 2048 a + 4096\)
• D) \(a ^ { 4 } + 32 a ^ { 3 } + 384 a ^ { 2 } + 2048 a - 4096\)
• E) \(a ^ { 4 } + 64 a ^ { 3 } - 512 a ^ { 2 } - 2048 a + 4096\)

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Definitions:

Vroom-Jago

A decision-making model that helps leaders determine how much involvement their teams should have in the decision-making process.

Leader-Participation Model

A framework suggesting the degree of employee involvement in decision-making depends on the situation and leadership style.

Decision-Making Method

A systematic process or set of steps designed to guide individuals or organizations in identifying and choosing among alternative options to solve a problem or achieve a goal.

Transformational Leadership

A style of leadership where the leader works with teams to identify needed change, creating a vision to guide the change through inspiration, and executing the change in tandem with committed members of the group.