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which of the following is the quotient of the rational expression shown below 2x+5/3x /2x-1/2x+1

which of the following is the quotient of the rational expression shown below 2x53x 2x12x1 class=

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[tex] \frac{2x + 5}{3x} \div \frac{2x - 1}{2x + 1} = \frac{2x + 5}{3x} \times \frac{2x + 1}{2x - 1} = \\ = \frac{ (2x + 5)(2x + 1)}{3x(2x - 1)} = \frac{ {4x}^{2} + 12x + 5 }{6 {x}^{2} - 3x} [/tex]

Answer: A

Step-by-step explanation:

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