Factor Completely $3 x ^ { 3 } - 375 y ^ { 3 }$

question 107

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $3 x ^ { 3 } - 375 y ^ { 3 }$

• A) \(3 ( x - 5 y ) \left( x ^ { 2 } + 25 y ^ { 2 } \right)\)
• B) \(( 3 x - 5 y ) \left( x ^ { 2 } + 5 y + 75 y ^ { 2 } \right)\)
• C) \(3 ( x - 5 y ) \left( x ^ { 2 } + 5 x y + 25 y ^ { 2 } \right)\)
• D) \(3 ( x + 5 y ) \left( x ^ { 2 } - 5 x y + 25 y ^ { 2 } \right)\)

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Definitions:

Risk of Harm

The potential for actions, situations, or products to cause injury, damage, or adverse effects to individuals or groups.

Decision Making

The cognitive process of selecting a course of action among multiple alternatives.

Subjective Probability

An individual's personal estimate of the chance of occurrence of a particular event.

Objective Probability

The likelihood of an event occurring based on a calculation from available data, independent of personal thought or opinion.