Factor the Sum or Difference of Two Cubes $54 x ^ { 3 } - 128 x ^ { 6 }$

Multiple Choice

Factor the sum or difference of two cubes.
- $54 x ^ { 3 } - 128 x ^ { 6 }$

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