Factor the Sum or Difference of Two Cubes $64 p ^ { 3 } - 1$

Multiple Choice

Factor the sum or difference of two cubes.
- $64 p ^ { 3 } - 1$

A) $( 4 p - 1 ) \left( 16 p ^ { 2 } + 1 \right)$
B) $( 64 p - 1 ) \left( p ^ { 2 } + 4 p + 1 \right)$
C) $( 4 p - 1 ) \left( 16 p ^ { 2 } + 4 p + 1 \right)$
D) $( 4 p + 1 ) \left( 16 p ^ { 2 } - 4 p + 1 \right)$