Factor the Expression Completely $25 x ^ { 8 } + 1$

Multiple Choice

Factor the expression completely. $25 x ^ { 8 } + 1$

A) The expression is prime.
B) $\quad \left( 5 x ^ { 4 } + 1 \right) ^ { 2 }$
C) $\quad \left( 5 x ^ { 4 } - 1 \right) ^ { 2 }$
D) $\quad \left( 5 x ^ { 4 } + 1 \right) \left( 5 x ^ { 4 } - 1 \right)$