Factor the Expression $\left( n ^ { 2 } + 1 \right) ^ { 2 } - 15 \left( n ^ { 2 } + 1 \right) + 50$

Multiple Choice

Factor the expression. $\left( n ^ { 2 } + 1 \right) ^ { 2 } - 15 \left( n ^ { 2 } + 1 \right) + 50$

A) $( n - 2 ) ( n - 3 ) ( n + 3 ) ( n + 2 )$
B) $( n - 2 ) ^ { 2 } ( n + 3 ) ( n - 3 )$
C) $( n + 1 ) ^ { 2 } ( n - 3 ) ( n + 3 )$
D) $( n + 1 ) ( n - 1 ) ( n + 2 )$
E) $( n + 2 ) ^ { 4 }$