Solve x/x-12x-2

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

Evaluate

$$\frac{2\left(x^{2}-x+1\right)}{x-1}$$

Short Solution Steps

Express \frac{x}{x-1}\times 2 as a single fraction.

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

Express \frac{x\times 2}{x-1}x as a single fraction.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x-1}{x-1}.

$$\frac{x\times 2x}{x-1}-\frac{2\left(x-1\right)}{x-1}$$

Since \frac{x\times 2x}{x-1} and \frac{2\left(x-1\right)}{x-1} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x\times 2x-2\left(x-1\right)}{x-1}$$

Do the multiplications in x\times 2x-2\left(x-1\right).

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

Factor

$$\frac{2\left(x^{2}-x+1\right)}{x-1}$$