Solve the Problem $$( x + 2 y ) ^ { 3 }$$

question 96

Multiple Choice

Solve the problem.
- $$( x + 2 y ) ^ { 3 }$$

• A) \(x ^ { 3 } + 6 x ^ { 2 } y + 12 x y ^ { 2 } + 8 y ^ { 3 }\)
• B) \(3 ( x + 2 y )\)
• C) \(x ^ { 3 } + 2 x ^ { 2 } y + 4 x y + 4 x y ^ { 2 } + 8 y ^ { 2 } + 8 y ^ { 3 }\)
• D) \(x ^ { 3 } + 8 y ^ { 3 }\)

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Definitions:

Valence

In psychology, the value associated with a particular outcome or reward, influencing the motivation of an individual.

Expectancy

The belief or anticipation that a particular event or outcome will occur.

Instrumentality

In the context of motivation theory, it refers to the perceived relationship between performing at a certain level and achieving a desired outcome.

Goal-Setting Theory

Goal-Setting Theory posits that specific, challenging goals along with appropriate feedback contribute significantly to motivation and performance, by focusing effort and fostering persistence.