Use the Binomial Theorem to Expand and Simplify the Expression $$( w - 2 ) ^ { 5 }$$

question 21

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.
$$( w - 2 ) ^ { 5 }$$

• A) \(w ^ { 5 } - 10 w ^ { 4 } + 40 w ^ { 3 } - 80 w ^ { 2 } + 80 w\)
• B) \(w ^ { 4 } - 8 w ^ { 3 } + 24 w ^ { 2 } - 32 w + 16\)
• C) \(w ^ { 5 } - 10 w ^ { 4 } + 60 w ^ { 3 } - 120 w ^ { 2 } + 80 w - 32\)
• D) \(w ^ { 5 } - 8 w ^ { 4 } + 36 w ^ { 3 } - 72 w ^ { 2 } + 64 w - 32\)
• E) \(w ^ { 5 } - 10 w ^ { 4 } + 40 w ^ { 3 } - 80 w ^ { 2 } + 80 w - 32\)

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Definitions:

Negotiable Instrument

A written order or unconditional promise to pay a fixed sum of money that is transferable from one party to another.

Movability

The quality of a negotiable instrument that ensures it is mobile and available.

Relative Permanence

The concept that certain things are not absolutely permanent but can be considered permanent relative to specific contexts or conditions.

Negotiable Instrument

A document guaranteeing the payment of a specific amount of money, either on demand or at a set time.