Question

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

Answer 1

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