Use the Binomial Theorem to Expand and Simplify the Expression $( 2 \sqrt { t } - 5 ) ^ { 3 }$

question 26

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( 2 \sqrt { t } - 5 ) ^ { 3 }$ ​

• A) \(8 t ^ { 3 / 2 } - 60 t + 150 t ^ { 1 / 2 } - 125\)
• B) \(8 t ^ { 3 / 2 } - 60 t + 150 t ^ { 1 / 2 } + 125\)
• C) \(8 t ^ { 3 / 2 } - 60 t - 150 t ^ { 1 / 2 } - 125\)
• D) \(8 t ^ { 3 / 2 } + 60 t + 150 t ^ { 1 / 2 } + 125\)
• E) \(8 t ^ { 3 / 2 } + 60 t - 150 t ^ { 1 / 2 } - 125\)

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Definitions:

Soft Individualism

Soft individualism is a cultural value that emphasizes personal independence and self-expression but also values community and cooperation.

Egocentrism

A cognitive bias where an individual is unable to understand or assume any perspective other than their own.

Peer Group

A social group whose members have interests, social position, and age in common.

Generation

A group of individuals, most often classified by their birth years, who experience similar cultural, social, and economic conditions at roughly the same stage in life.