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maw [93]
3 years ago
8

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

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

\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}

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