Factor the Sum or Difference of Two Cubes $a ^ { 3 } b ^ { 3 } + 64$

question 26

Multiple Choice

Factor the sum or difference of two cubes.
- $a ^ { 3 } b ^ { 3 } + 64$

• A) \(( a b + 4 ) \left( a ^ { 2 } b ^ { 2 } - 16 \right)\)
• B) \(( a b - 4 ) \left( a ^ { 2 } b ^ { 2 } + 16 \right)\)
• C) \(( a b - 4 ) \left( a ^ { 2 } b ^ { 2 } + 4 a b + 16 \right)\)
• D) \(( a b + 4 ) \left( a ^ { 2 } b ^ { 2 } - 4 a b + 16 \right)\)

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Definitions:

Thyroid Gland

An endocrine gland in the neck that produces hormones primarily responsible for regulating metabolism and energy use in the body.

General Adaptive Syndrome

A three-stage response (alarm, resistance, exhaustion) that the body goes through when exposed to prolonged stress, as proposed by Hans Selye.

Adaptation

The process by which individuals adjust to changes in their environment or circumstances to maintain functionality.

Beneficial

Producing good or helpful results or effects; advantageous.