Factor Completely $- 9 x ^ { 2 } + 144 x ^ { 4 }$

Multiple Choice

Factor completely. Check by multiplying the factors. $- 9 x ^ { 2 } + 144 x ^ { 4 }$

A) $9 x ^ { 2 } ( 144 x - 1 ) ( x + 1 )$
B) $9 x ^ { 3 } ( 4 x - 1 ) ( 4 + 1 )$
C) $9 x ^ { 2 } ( 4 x - 1 ) ( 4 + 1 )$
D) $9 x \left( 4 x ^ { 2 } - 1 \right) ( 4 x + 1 )$
E) $9 x \left( x ^ { 2 } - 1 \right) ( 16 x + 1 )$