Factor the Polynomial $$8 a ^ { 3 } - 27 b ^ { 3 }$$

question 28

Multiple Choice

Factor the polynomial. $$8 a ^ { 3 } - 27 b ^ { 3 }$$

• A) \(( 2 a - 3 b ) \left( 2 a ^ { 2 } + 6 a b + 3 b ^ { 2 } \right)\)
• B) \(( 2 a + 3 b ) \left( 2 a ^ { 2 } + 6 a b + 3 b ^ { 2 } \right)\)
• C) \(( a - b ) \left( 4 a ^ { 2 } + 6 a b + 9 b ^ { 2 } \right)\)
• D) \(( a - b ) \left( 4 a ^ { 2 } + 6 a b - 9 b ^ { 2 } \right)\)
• E) \(( 2 a - 3 b ) \left( 4 a ^ { 2 } + 6 a b + 9 b ^ { 2 } \right)\)

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Definitions:

Envision

The act of imagining or anticipating something that has not yet occurred.

Risky Decision Making

The process of making choices under conditions of uncertainty, often involving potential negative outcomes.

Conditions of Uncertainty

Conditions of uncertainty are situations in which there is a lack of sureness about what might happen, often making decision-making difficult.

Expected Value Process

A decision-making strategy that involves calculating the average outcome when the probability of different outcomes is known.