Factor by Any Method $$125 a ^ { 3 } - 27 b ^ { 3 }$$

question 417

Multiple Choice

Factor by any method.
- $$125 a ^ { 3 } - 27 b ^ { 3 }$$

• A) \(( 5 a - 3 b ) \left( 25 a ^ { 2 } + 15 a b + 9 b ^ { 2 } \right)\)
• B) \(( 125 a - 3 b ) \left( a ^ { 2 } + 15 a b + 9 b ^ { 2 } \right)\)
• C) \(\left( 5 a + 3 b ^ { 2 } \right) \left( 25 a ^ { 2 } - 15 a b + 9 b ^ { 2 } \right)\)
• D) \(( 5 a - 3 b ) \left( 25 a ^ { 2 } + 9 b ^ { 2 } \right)\)

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Definitions:

Scientific Method

A systematic process for gathering knowledge and testing hypotheses in a repeatable manner.

Theoretical Importance

The significance of a theory in providing a foundational framework or extensive insights into a specific field of study.

Inductive Reasoning

A logical process of drawing general conclusions from specific observations or examples.

Ethical Criticism

The evaluation or analysis of moral considerations within actions, practices, or decisions, often within a cultural or philosophical context.