Factor Completely $$64 g ^ { 3 } + 125 h ^ { 3 }$$

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$64 g ^ { 3 } + 125 h ^ { 3 }$$

A) $( 4 \mathrm {~g} + 5 \mathrm {~h} ) \left( 16 \mathrm {~g} ^ { 2 } - 20 \mathrm { gh } + 25 \mathrm {~h} ^ { 2 } \right)$
B) $( 4 g - 5 h ) \left( 16 g ^ { 2 } + 25 h ^ { 2 } \right)$
C) $\left( 4 g + 5 h ^ { 2 } \right) \left( 16 g ^ { 2 } - 20 g h + 25 h ^ { 2 } \right)$
D) $( 4 g - 5 h ) \left( 16 g ^ { 2 } + 20 g h + 25 h ^ { 2 } \right)$