Factor the Polynomial by Substitution $$a ^ { 2 } ( a + b ) ^ { 2 } - a b ( a + b ) ^ { 2 } - 72 b ^ { 2 } ( a + b ) ^ { 2 }$$

Multiple Choice

Factor the polynomial by substitution.
- $$a ^ { 2 } ( a + b ) ^ { 2 } - a b ( a + b ) ^ { 2 } - 72 b ^ { 2 } ( a + b ) ^ { 2 }$$

A) $( a - 9 b ) ( a + 8 b ) ( a + b )$
B) $( a + b ) ^ { 2 } ( a - 9 ) ( a + 8 )$
C) $( a + b ) ^ { 2 } ( a - 8 b ) ( a + 9 b )$
D) $( a + b ) ^ { 2 } ( a - 9 b ) ( a + 8 b )$