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) $( n + 2 ) ^ { 4 }$

Question

Quizplus · Accepted Answer

The expression can be factored as \(( n ^ { 2 } + 1 ) ^ { 2 } - 15 ( n ^ { 2 } + 1 ) + 50 = ( n ^ { 2 } + 1 ) ^ { 2 } - 2 ( n ^ { 2 } + 1 ) ( 7.5 ) + ( 7.5 ) ^ { 2 } - 25 = ( n ^ { 2 } + 1 - 7.5 ) ^ { 2 } - 25 = ( n ^ { 2 } - 6.5 ) ^ { 2 } - 5 ^ { 2 } = ( n ^ { 2 } - 6.5 + 5 ) ( n ^ { 2 } - 6.5 - 5 ) = ( n ^ { 2 } - 1.5 ) ( n ^ { 2 } - 11.5 ) = ( n - 1.5 ) ( n + 1.5 ) ( n - 3.5 ) ( n + 3.5 ) = ( n - 2 ) ( n - 3 ) ( n + 3 ) ( n + 2 ).

Factor the Expression (n2+1)2−15(n2+1)+50\left( n ^ { 2 } + 1 \right) ^ { 2 } - 15 \left( n ^ { 2 } + 1 \right) + 50(n2+1)2−15(n2+1)+50

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