Factor the Sum or Difference of Cubes $$27 u ^ { 3 } + 64$$

Multiple Choice

Factor the sum or difference of cubes. $$27 u ^ { 3 } + 64$$

A) $( 3 u + 4 ) ^ { 2 } ( 3 u - 4 )$
B) $( 3 u + 4 ) \left( 9 u ^ { 2 } - 24 u + 16 \right)$
C) $( 3 u - 4 ) \left( 9 u ^ { 2 } + 12 u + 16 \right)$
D) $( 3 u + 4 ) \left( 9 u ^ { 2 } - 12 u + 16 \right)$