Write the Binomial Expansion of the Expression $$\left( - 2 + \frac { y } { 3 } \right) ^ { 5 }$$

question 51

Multiple Choice

Write the binomial expansion of the expression.
- $$\left( - 2 + \frac { y } { 3 } \right) ^ { 5 }$$

• A) \(- 32 + \frac { 80 } { 3 } y - \frac { 80 } { 9 } y ^ { 2 } + \frac { 40 } { 27 } y ^ { 3 } - \frac { 10 } { 81 } y ^ { 4 } + \frac { 1 } { 243 } y ^ { 5 }\)
• B) \(- 32 - \frac { 10000 } { 3 } y - \frac { 8000 } { 9 } y ^ { 2 } - \frac { 400 } { 27 } y ^ { 3 } - \frac { 10 } { 81 } y ^ { 4 } - \frac { 1 } { 243 } y ^ { 5 }\)
• C) \(- 32 - \frac { 80 } { 3 } y + \frac { 80 } { 9 } y ^ { 2 } - \frac { 40 } { 27 } y ^ { 3 } + \frac { 10 } { 81 } y ^ { 4 } - \frac { 1 } { 243 } y ^ { 5 }\)
• D) \(32 + \frac { 80 } { 3 } y + \frac { 80 } { 9 } y ^ { 2 } + \frac { 40 } { 27 } y ^ { 3 } + \frac { 10 } { 81 } y ^ { 4 } + \frac { 1 } { 243 } y ^ { 5 }\)

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Definitions:

Social Interaction

The ways in which individuals respond to one another in social situations, encompassing communication, role-playing, and other forms of engagement.

Preexisting Norms

Standards or expectations that are established before a given context or scenario.

Erving Goffman

A sociologist known for his work on symbolic interactionism and the study of social interaction in everyday life, particularly the concept of the presentation of self.

Inauthentic

Lacking genuineness or sincerity; not being true to one's own personality, spirit, or character, often in the context of personal relationships or artistic expressions.