Factor Completely $64 m ^ { 6 } - n ^ { 6 } \quad$

Multiple Choice

Factor completely. $64 m ^ { 6 } - n ^ { 6 } \quad$ [Hint: $64 = 2 ^ { 6 }$ .]

A) $( 2 m - n ) \left( 4 m ^ { 2 } + 2 m n + n ^ { 2 } \right) \left( 8 m ^ { 3 } + n ^ { 3 } \right)$
B) $( 2 m + n ) \left( 4 m ^ { 2 } - 2 m n + n ^ { 2 } \right) ( 2 m - n ) \left( 4 m ^ { 2 } + 2 m n + n ^ { 2 } \right)$
C) $\left( 8 m ^ { 3 } - n ^ { 3 } \right) \left( 8 m ^ { 3 } + n ^ { 3 } \right)$
D) Prime