Factor the Sum or Difference of Two Cubes $16 \mathrm { k } ^ { 3 } \mathrm {~m} - 54 \mathrm {~m} ^ { 4 }$

Multiple Choice

Factor the sum or difference of two cubes.
- $16 \mathrm { k } ^ { 3 } \mathrm {~m} - 54 \mathrm {~m} ^ { 4 }$

A) $2 m ( 2 k - 3 m ) \left( 4 k ^ { 2 } + 6 k m + 9 m ^ { 2 } \right)$
B) $2 \mathrm {~m} ( 8 \mathrm { k } - 3 \mathrm {~m} ) \left( \mathrm { k } ^ { 2 } + 6 \mathrm {~km} + 9 \mathrm {~m} ^ { 2 } \right)$
C) $\left( 4 k m - 6 m ^ { 2 } \right) \left( 4 k ^ { 2 } + 9 m ^ { 2 } \right)$
D) $2 m \left( 2 k + 3 m ^ { 2 } \right) \left( 4 k ^ { 2 } - 6 k m + 9 k ^ { 2 } \right)$