Simplify the Rational Expression $$\frac { 4 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 8 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 16 \left( x ^ { 2 } - 3 \right) ^ { 3 } }$$

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
- $$\frac { 4 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 8 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 16 \left( x ^ { 2 } - 3 \right) ^ { 3 } }$$

A) $\frac { 1 + 2 x ^ { 3 } + 6 x } { 4 }$
B) $\frac { 1 - 2 x ^ { 3 } + 6 x } { 8 }$
C) $\frac { 1 + 2 x ^ { 3 } - 6 x } { 4 }$
D) $\frac { 1 - 2 x ^ { 3 } - 6 x } { 8 }$

Correct Answer:

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