Factor the Polynomial Completely $216 x ^ { 3 } - 1$

Multiple Choice

Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
- $216 x ^ { 3 } - 1$

A) $( 6 x - 1 ) \left( 36 x ^ { 2 } + 6 x + 1 \right)$
B) $( 6 x - 1 ) \left( 36 x ^ { 2 } + 1 \right)$
C) $( 6 x + 1 ) \left( 36 x ^ { 2 } - 6 x + 1 \right)$
D) $( 216 x - 1 ) \left( x ^ { 2 } + 6 x + 1 \right)$