If Possible, Factor the Polynomial Completely $$a b ^ { 4 } - 9 a ^ { 3 } b ^ { 2 }$$

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $$a b ^ { 4 } - 9 a ^ { 3 } b ^ { 2 }$$

A) $a \left( b ^ { 2 } + 3 a b \right) \left( b ^ { 2 } - 3 a b \right)$
B) $a b ^ { 4 } - 9 a ^ { 3 } b ^ { 2 }$
C) $a b ^ { 2 } ( b + 3 a ) ( b - 3 a )$
D) $a b ^ { 2 } ( b - 3 a ) ^ { 2 }$