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Simplify the Rational Expression 2(2x3)1/3(x1)(2x3)2/3(2x3)2/3\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.
- 2(2x3) 1/3(x1) (2x3) 2/3(2x3) 2/3\frac { 2 ( 2 x - 3 ) ^ { 1 / 3 } - ( x - 1 ) ( 2 x - 3 ) ^ { - 2 / 3 } } { ( 2 x - 3 ) ^ { 2 / 3 } }


A) 3x+5(2x+3) 5/3\frac { 3 x + 5 } { ( 2 x + 3 ) ^ { 5 / 3 } }
B) 3x5(2x+3) 4/3\frac { 3 x - 5 } { ( 2 x + 3 ) ^ { 4 / 3 } }
C) 5x5(2x+3) 5/3\frac { 5 x - 5 } { ( 2 x + 3 ) ^ { 5 / 3 } }
D) 5x+5(2x+3) 4/3\frac { 5 x + 5 } { ( 2 x + 3 ) ^ { 4 / 3 } }

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