Factor by Any Method $512 p ^ { 3 } - 1$

Multiple Choice

Factor by any method.
- $512 p ^ { 3 } - 1$

A) $( 8 p + 1 ) \left( 64 p ^ { 2 } - 8 p + 1 \right)$
B) $( 8 p - 1 ) \left( 64 p ^ { 2 } + 1 \right)$
C) $( 8 p - 1 ) \left( 64 p ^ { 2 } + 8 p + 1 \right)$
D) $( 512 p - 1 ) \left( p ^ { 2 } + 8 p + 1 \right)$