Answer
$\frac{(x-1)(x+1)}{x(4x-2)}$
Work Step by Step
$\dfrac{2-\frac{x+1}{x}}{3+\frac{x-1}{x+1}}=\dfrac{\frac{2x}{x}-\frac{x+1}{x}}{\frac{3x+3}{x+1}+\frac{x-1}{x+1}}=\dfrac{\frac{x-1}{x}}{\frac{4x-2}{x+1}}=$$\frac{(x-1)(x+1)}{x(4x-2)}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.