Expand the Binomial by Using the Binomial Theorem $$\left( \frac { 1 } { 3 } v - 4 w \right) ^ { 4 }$$

question 5

Multiple Choice

Expand the binomial by using the binomial theorem.
- $$\left( \frac { 1 } { 3 } v - 4 w \right) ^ { 4 }$$

• A) \(\frac { 1 } { 81 } v ^ { 4 } - \frac { 16 } { 27 } v ^ { 3 } w + \frac { 32 } { 3 } v ^ { 2 } w ^ { 2 } - \frac { 256 } { 3 } v w ^ { 3 } + 256 w ^ { 2 }\)
• B) \(\frac { 1 } { 81 } v ^ { 4 } + 256 w ^ { 2 }\)
• C) \(\frac { 1 } { 3 } v ^ { 4 } - 4 \mathrm { w } ^ { 4 }\)
• D) \(\frac { 1 } { 81 } v ^ { 4 } - \frac { 256 } { 3 } v ^ { 3 } w + \frac { 32 } { 3 } v ^ { 2 } w ^ { 2 } - \frac { 16 } { 27 } v w ^ { 3 } + 256 w ^ { 2 }\)

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Definitions:

Psychological System

A complex network within an individual that encompasses cognitive, emotional, and behavioral processes.

Social Conventions

Agreed-upon norms and rules that dictate acceptable behavior within a society or group, often unwritten and learned through social interaction.

Social Coordination

The process by which individuals or groups manage their actions and behaviors in a way that aligns with or is responsive to others in their social environment.