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:

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A central or most important element that influences an outcome or determines a variable's characteristics.