Factor Completely $$c ^ { 3 } - 512 d ^ { 3 }$$

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$c ^ { 3 } - 512 d ^ { 3 }$$

A) $( c + 8 d ) \left( c ^ { 2 } - 8 c d + 64 d ^ { 2 } \right)$
B) $( c - 8 d ) \left( c ^ { 2 } + 8 c d + 64 d ^ { 2 } \right)$
C) $\left( \mathrm { c } + 512 \mathrm {~d} ^ { 3 } \right) \left( \mathrm { c } ^ { 2 } - 1 \right)$
D) $( c - 8 d ) \left( c ^ { 2 } + 64 d ^ { 2 } \right)$