Simplify (x/(x-1))÷(1/(x+1))

$\frac{x}{x - 1} \div \frac{1}{x + 1}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{x}{x - 1} (x + 1)$

Step 2

Multiply $\frac{x}{x - 1}$ by $x + 1$ .

$\frac{x (x + 1)}{x - 1}$