Simplify the Rational Expression $\frac { 25 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 125 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 625 \left( x ^ { 2 } - 3 \right) ^ { 3 } }$

question 363

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
- $\frac { 25 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 125 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 625 \left( x ^ { 2 } - 3 \right) ^ { 3 } }$

• A) \(\frac { 1 + 5 x ^ { 3 } - 15 x } { 25 }\)
• B) \(\frac { 1 - 5 x ^ { 3 } - 15 x } { 125 }\)
• C) \(\frac { 1 + 5 x ^ { 3 } + 15 x } { 25 }\)
• D) \(\frac { 1 - 5 x ^ { 3 } + 15 x } { 125 }\)

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