Use One of the Appropriate Patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$

Multiple Choice

Use one of the appropriate patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ ; $( a - b ) ^ { 2 } = a ^ { 2 } - 2 a b + b ^ { 2 }$ ; $( a + b ) ( a - b ) = a ^ { 2 } - b ^ { 2 }$ to find the following product. $- 9 x ( 4 - 9 x ) ( 4 + 9 x )$

A) $- 36 x + 729 x ^ { 3 }$
B) $- 144 x + 729 x ^ { 3 }$
C) $- 144 x - 729 x ^ { 2 }$
D) $- 144 x + 81 x ^ { 3 }$
E) none of these