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

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) $3 b ( 2 a + 3 b ) ^ { 2 }$