Simplify the Rational Expression $\frac { 2 ( 2 x - 3 ) ^ { 1 / 3 } - ( x - 1 ) ( 2 x - 3 ) ^ { - 2 / 3 } } { ( 2 x - 3 ) ^ { 2 / 3 } }$

question 379

Multiple Choice

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

• A) \(\frac { 3 x + 5 } { ( 2 x + 3 ) ^ { 5 / 3 } }\)
• B) \(\frac { 3 x - 5 } { ( 2 x + 3 ) ^ { 4 / 3 } }\)
• C) \(\frac { 5 x - 5 } { ( 2 x + 3 ) ^ { 5 / 3 } }\)
• D) \(\frac { 5 x + 5 } { ( 2 x + 3 ) ^ { 4 / 3 } }\)

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