Simplify the Rational Expression A) $\frac { ( 2 x ) \left( 1 + 5 x ^ { 2 } \right) } { \left( x ^ { 2 } + 1 \right) ^ { 5 } }$

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
- $$\frac { \left( x ^ { 2 } + 1 \right) ^ { 4 } ( 2 x ) - x ^ { 2 } ( 4 ) \left( x ^ { 2 } + 1 \right) ^ { 3 } ( 2 x ) } { \left( x ^ { 2 } + 1 \right) ^ { 8 } }$$

A) $\frac { ( 2 x ) \left( 1 + 5 x ^ { 2 } \right) } { \left( x ^ { 2 } + 1 \right) ^ { 5 } }$
B) $\frac { ( 2 x ) \left( 1 - 3 x ^ { 2 } \right) } { \left( x ^ { 2 } + 1 \right) ^ { 5 } }$
C) $\frac { ( 2 x ) \left( 1 + 3 x ^ { 2 } \right) } { \left( x ^ { 2 } + 1 \right) ^ { 5 } }$
D) $\frac { ( 2 x ) \left( 1 - 5 x ^ { 2 } \right) } { \left( x ^ { 2 } + 1 \right) ^ { 5 } }$