Simplify the Rational Expression $$\frac { 5 ( 5 x - 1 ) ^ { 1 / 3 } - ( x - 1 ) ( 5 x - 1 ) ^ { - 2 / 3 } } { ( 5 x - 1 ) ^ { 2 / 3 } }$$

question 288

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
- $$\frac { 5 ( 5 x - 1 ) ^ { 1 / 3 } - ( x - 1 ) ( 5 x - 1 ) ^ { - 2 / 3 } } { ( 5 x - 1 ) ^ { 2 / 3 } }$$

• A) \(\frac { 24 x - 4 } { ( 5 x + 1 ) ^ { 4 / 3 } }\)
• B) \(\frac { 26 x + 4 } { ( 5 x + 1 ) ^ { 4 / 3 } }\)
• C) \(\frac { 26 x - 4 } { ( 5 x + 1 ) ^ { 5 / 3 } }\)
• D) \(\frac { 24 x + 4 } { ( 5 x + 1 ) ^ { 5 / 3 } }\)

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