Factor Out the Largest Possible Common Factor $$15 a ^ { 3 } - 6 a ^ { 2 } b - 25 a b ^ { 2 } + 10 b ^ { 3 }$$

question 30

Multiple Choice

Factor out the largest possible common factor.
- $$15 a ^ { 3 } - 6 a ^ { 2 } b - 25 a b ^ { 2 } + 10 b ^ { 3 }$$

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

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Definitions:

Equity Theory

A theory of motivation that focuses on individuals' perceptions of fairness in exchange relationships, emphasizing the importance of achieving equity between an individual's input and outcomes.

Tactics

Specific actions or strategies designed to achieve a particular objective, often within the context of competition or conflict.

Autonomous Motivation

Motivation that originates internally, driving individuals to engage in activities for the inherent satisfaction or personal reward they provide.

Competence

The ability to do something successfully or efficiently, involving knowledge, skill, and aptitude.