Factor the Polynomial Completely $$( x + 1 ) ^ { 2 } + 16 ( x + 1 ) + 64$$

Multiple Choice

Factor the polynomial completely.
- $$( x + 1 ) ^ { 2 } + 16 ( x + 1 ) + 64$$

A) $( x - 9 ) ^ { 2 }$
B) $( x + 9 ) ^ { 2 }$
C) $( x + 9 ) ( x - 9 )$
D) $2 ( x + 9 ) ( x - 9 )$