Factor the Expression Completely $64 x ^ { 10 } + 1$

Multiple Choice

Factor the expression completely. $64 x ^ { 10 } + 1$

A) $\quad \left( 8 x ^ { 5 } + 1 \right) ^ { 2 }$
B) $\quad \left( 8 x ^ { 5 } - 1 \right) ^ { 2 }$
C) $\quad \left( 8 x ^ { 5 } + 1 \right) \left( 8 x ^ { 5 } - 1 \right)$
D) The expression is prime.