If Possible, Factor the Polynomial Completely $147 a ^ { 4 } b - 108 b ^ { 3 }$

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $147 a ^ { 4 } b - 108 b ^ { 3 }$

A) $3 b ( 7 a + 6 b ) ^ { 2 }$
B) $147 a ^ { 4 } b - 108 b ^ { 3 }$
C) $3 b \left( 7 a ^ { 2 } + 6 b \right) \left( 7 a ^ { 2 } - 6 b \right)$
D) $3 b ( 7 a - 6 b ) ^ { 2 }$