Factor the Expression Completely $$( 4 x - 5 y ) ^ { 3 } + 64$$

question 57

Multiple Choice

Factor the expression completely. $$( 4 x - 5 y ) ^ { 3 } + 64$$

• A) \(( 4 x - 5 y + 4 ) \cdot \left( 16 x ^ { 2 } + 16 x + 40 x y - 20 y - 25 y ^ { 2 } + 16 \right)\)
• B) \(( 4 x - 5 y + 4 ) \cdot \left( 16 x ^ { 2 } - 16 x + 40 x y - 20 y + 25 y ^ { 2 } + 16 \right)\)
• C) \(( 4 x + 5 y - 4 ) \cdot \left( 16 x ^ { 2 } + 16 x + 40 x y - 20 y - 25 y ^ { 2 } + 16 \right)\)
• D) \(( 4 x + 5 y - 4 ) \cdot \left( 16 x ^ { 2 } - 16 x - 40 x y + 20 y + 25 y ^ { 2 } + 16 \right)\)
• E) \(( 4 x - 5 y + 4 ) \cdot \left( 16 x ^ { 2 } - 16 x - 40 x y + 20 y + 25 y ^ { 2 } + 16 \right)\)

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Definitions:

Model Parliament

A historical term or concept relating to representative assemblies or efforts to simulate parliamentary democracy as an educational tool.

Economic Development

The process by which a nation improves the economic, political, and social well-being of its people.

Routine Collective Action

Organized group behavior that follows established patterns or norms, often associated with societal or institutional practices.

Nonviolent

Referring to actions, movements, or methods that do not involve force or violence to achieve goals.