Factor Completely $250 \mathrm { k } ^ { 3 } \mathrm {~m} - 128 \mathrm {~m} ^ { 4 }$

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $250 \mathrm { k } ^ { 3 } \mathrm {~m} - 128 \mathrm {~m} ^ { 4 }$

A) $2 \mathrm {~m} ( 5 \mathrm { k } - 4 \mathrm {~m} ) \left( 25 \mathrm { k } ^ { 2 } + 20 \mathrm {~km} + 16 \mathrm {~m} ^ { 2 } \right)$
B) $2 m \left( 5 \mathrm { k } + 4 \mathrm {~m} ^ { 2 } \right) \left( 25 \mathrm { k } ^ { 2 } - 20 \mathrm {~km} + 16 \mathrm {~km} { } ^ { 2 } \right)$
C) $2 \mathrm {~m} ( 125 \mathrm { k } - 4 \mathrm {~m} ) \left( \mathrm { k } ^ { 2 } + 20 \mathrm {~km} + 16 \mathrm {~m} ^ { 2 } \right)$
D) $\left( 10 \mathrm {~km} - 8 \mathrm {~m} ^ { 2 } \right) \left( 25 \mathrm { k } ^ { 2 } + 16 \mathrm {~m} ^ { 2 } \right)$