Factor as Completely as Possible $$12 a ^ { 4 } b - 27 b ^ { 3 }$$

question 66

Multiple Choice

Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.
- $$12 a ^ { 4 } b - 27 b ^ { 3 }$$

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

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Definitions:

Manufacturing Cell

An arrangement of machinery and workers in which the production process is broken down into simpler steps, and all necessary equipment and staff are located close to each other to increase efficiency.

Assembly Line

A manufacturing process in which parts are added to a product in a sequential manner to create a finished product in the most efficient and streamlined way.

Continuous Process

A production process that operates incessantly over a long period of time, allowing for the constant production of goods or delivery of services.