Factor Out the Largest Possible Common Factor $$8 a ^ { 3 } + 6 a ^ { 2 } b - 20 a b ^ { 2 } - 15 b ^ { 3 }$$

question 78

Multiple Choice

Factor out the largest possible common factor.
- $$8 a ^ { 3 } + 6 a ^ { 2 } b - 20 a b ^ { 2 } - 15 b ^ { 3 }$$

• A) \(\left( 8 a ^ { 2 } - 5 b ^ { 2 } \right) ( a + 3 b )\)
• B) \(\left( 2 a ^ { 2 } + 5 b ^ { 2 } \right) ( 4 a - 3 b )\)
• C) \(\left( 2 a ^ { 2 } - 5 b ^ { 2 } \right) ( 4 a + 3 b )\)
• D) \(\left( 2 a ^ { 2 } - 5 b \right) ( 4 a + 3 b )\)

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Definitions:

Positive Feedback

Encouraging or affirmative information provided in response to an action or behavior, intended to reinforce and promote repetition of the behavior.

Systemic Approaches

Strategies or methods that consider the complex interrelationships within systems, such as in families, organizations, or ecosystems, to address issues or implement changes.

Individual's Symptoms

Manifestations of disease or disorders experienced by a person, often indicating the presence of a health issue.

Cross-Generational Coalition

A problematic alliance formed between a member of one generation and another, bypassing the hierarchical boundary in a family system, often contributing to dysfunctional family dynamics.