Solve x^2-4/x^2-x*x/x-2=

$$\frac { x ^ { 2 } - 4 } { x ^ { 2 } - x } \cdot \frac { x } { x - 2 } =$$

Evaluate

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

Short Solution Steps

Multiply \frac{x^{2}-4}{x^{2}-x} times \frac{x}{x-2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(x^{2}-4\right)x}{\left(x^{2}-x\right)\left(x-2\right)}$$

Factor the expressions that are not already factored.

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

Cancel out x\left(x-2\right) in both numerator and denominator.

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

Expand

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

Short Solution Steps

Multiply \frac{x^{2}-4}{x^{2}-x} times \frac{x}{x-2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(x^{2}-4\right)x}{\left(x^{2}-x\right)\left(x-2\right)}$$

Factor the expressions that are not already factored.

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

Cancel out x\left(x-2\right) in both numerator and denominator.

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