Use the Binomial Theorem to Expand and Simplify the Expression $\left( u ^ { 3 / 5 } + 5 \right) ^ { 5 }$

question 14

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $\left( u ^ { 3 / 5 } + 5 \right) ^ { 5 }$ ​

• A) \(u ^ { 3 } + 25 u ^ { 12 / 5 } - 1250 u ^ { 9 / 5 } - 250 u ^ { 6 / 5 } + 3125 u ^ { 3 / 5 } + 3125\)
• B) \(u ^ { 3 } + 250 u ^ { 12 / 5 } + 25 u ^ { 9 / 5 } + 1250 u ^ { 6 / 5 } + 3125 u ^ { 3 / 5 } + 3125\)
• C) \(u ^ { 3 } + 250 u ^ { 12 / 5 } + 1250 u ^ { 9 / 5 } + 3125 u ^ { 6 / 5 } + 3125 u ^ { 3 / 5 } + 3125\)
• D) \(u ^ { 3 } + 25 u ^ { 12 / 5 } + 3125 u ^ { 9 / 5 } + 250 u ^ { 6 / 5 } + 3125 u ^ { 3 / 5 } + 1250\)
• E) \(u ^ { 3 } + 25 u ^ { 12 / 5 } + 250 u ^ { 9 / 5 } + 1250 u ^ { 6 / 5 } + 3125 u ^ { 3 / 5 } + 3125\)

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Definitions:

Punishment

A method used to reduce or eliminate undesirable behavior by imposing negative consequences.

Aggressive

A behavior characterized by assertiveness and readiness to confront or attack, often associated with hostility or competitiveness.

Noncreative

Lacking originality, innovation, or the ability to produce new or unique ideas or outcomes.

Positive Reinforcement

A process by which rewarding a behavior immediately after it occurs increases the likelihood that the behavior will be repeated.