Solve x+x/x-1

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

Evaluate

$$\frac{x^{2}}{x-1}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{x-1}{x-1}.

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

Since \frac{x\left(x-1\right)}{x-1} and \frac{x}{x-1} have the same denominator, add them by adding their numerators.

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

Do the multiplications in x\left(x-1\right)+x.

$$\frac{x^{2}-x+x}{x-1}$$

Combine like terms in x^{2}-x+x.

$$\frac{x^{2}}{x-1}$$

Factor

$$\frac{x^{2}}{x-1}$$