Simplify the Rational Expression A) $\frac { ( 3 x ) \left( 3 - 8 x ^ { 2 } \right) } { \left( x ^ { 2 } + 3 \right) ^ { 5 } }$

question 333

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
- $\frac { \left( x ^ { 2 } + 3 \right) ^ { 4 } ( 3 x ) - x ^ { 2 } ( 9 ) \left( x ^ { 2 } + 3 \right) ^ { 3 } ( 3 x ) } { \left( x ^ { 2 } + 3 \right) ^ { 8 } }$

• A) \(\frac { ( 3 x ) \left( 3 - 8 x ^ { 2 } \right) } { \left( x ^ { 2 } + 3 \right) ^ { 5 } }\)
• B) \(\frac { ( 3 x ) \left( 3 - 10 x ^ { 2 } \right) } { \left( x ^ { 2 } + 3 \right) ^ { 5 } }\)
• C) \(\frac { ( 3 x ) \left( 3 + 8 x ^ { 2 } \right) } { \left( x ^ { 2 } + 3 \right) ^ { 5 } }\)
• D) \(\frac { ( 3 x ) \left( 3 + 10 x ^ { 2 } \right) } { \left( x ^ { 2 } + 3 \right) ^ { 5 } }\)

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