Completely Factor the Expression $$3 a ^ { 2 } x ^ { 2 } + 12 a ^ { 2 } x + 12 a ^ { 2 } - 6 b ^ { 2 } x ^ { 2 } - 24 b ^ { 2 } x - 24 b ^ { 2 }$$

question 5

Multiple Choice

Completely factor the expression. $$3 a ^ { 2 } x ^ { 2 } + 12 a ^ { 2 } x + 12 a ^ { 2 } - 6 b ^ { 2 } x ^ { 2 } - 24 b ^ { 2 } x - 24 b ^ { 2 }$$

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

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Definitions:

Placebo

An inert substance given to a patient in control groups for medical experiments to compare the effects of a particular drug.

Testable Hypotheses

A proposition that can be put to a practical test to determine its validity.

Relative Risk

A measure in epidemiology that indicates the likelihood of a certain event or disease occurring in one group compared to another.

Mortality

The state of being subject to death; often used in statistics to refer to the rate of death in a population.