Factor Completely $$27 a ^ { 3 } - 64 b ^ { 3 }$$

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$27 a ^ { 3 } - 64 b ^ { 3 }$$

A) $\left( 3 a + 4 b ^ { 2 } \right) \left( 9 a ^ { 2 } - 12 a b + 16 b ^ { 2 } \right)$
B) $( 3 a - 4 b ) \left( 9 a ^ { 2 } + 16 b ^ { 2 } \right)$
C) $( 3 a - 4 b ) \left( 9 a ^ { 2 } + 12 a b + 16 b ^ { 2 } \right)$
D) $( 27 a - 4 b ) \left( a ^ { 2 } + 12 a b + 16 b ^ { 2 } \right)$