Use Pascal S Triangle to Expand the Expression $( 2 x - 4 ) ^ { 5 }$

question 38

Multiple Choice

Use Pascal s Triangle to expand the expression $( 2 x - 4 ) ^ { 5 }$ .

• A) \(2 x ^ { 5 } - 20 x ^ { 4 } + 160 x ^ { 3 } - 640 x ^ { 2 } + 1280 x - 1024\)
• B) \(2 x ^ { 5 } - 5 x ^ { 4 } + 10 x ^ { 3 } - 10 x ^ { 2 } + 5 x - - 4\)
• C) \(32 x ^ { 5 } - 80 x ^ { 4 } + 80 x ^ { 3 } - 40 x ^ { 2 } + 10 x - 1024\)
• D) \(32 x ^ { 5 } - 1024\)
• E) \(32 x ^ { 5 } - 320 x ^ { 4 } + 1280 x ^ { 3 } - 2560 x ^ { 2 } + 2560 x - 1024\)

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Definitions:

Castle

A large, fortified residence or stronghold, historically used by nobility or royalty for protection and as a symbol of power.

Traditional Categories

Established or conventional classifications used to organize concepts, items, or practices according to common characteristics.

Property Crime

A category of crime that involves the theft, damage, or illegal possession of someone else's property.

Fiscal Crime

Illegal activities affecting government revenue, including tax evasion, fraud, and embezzlement.