Solve (x-4/x)*x/x-2

$$( x - \frac { 4 } { x } ) \times \frac { x } { x - 2 }$$

Evaluate

$$x+2$$

Short Solution Steps

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

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

Since \frac{xx}{x} and \frac{4}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{xx-4}{x}\times \frac{x}{x-2}$$

Do the multiplications in xx-4.

$$\frac{x^{2}-4}{x}\times \frac{x}{x-2}$$

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

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

Cancel out x in both numerator and denominator.

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

Factor the expressions that are not already factored.

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

Cancel out x-2 in both numerator and denominator.

$$x+2$$

Expand

$$x+2$$

Short Solution Steps

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

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

Since \frac{xx}{x} and \frac{4}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{xx-4}{x}\times \frac{x}{x-2}$$

Do the multiplications in xx-4.

$$\frac{x^{2}-4}{x}\times \frac{x}{x-2}$$

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

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

Cancel out x in both numerator and denominator.

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

Factor the expressions that are not already factored.

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

Cancel out x-2 in both numerator and denominator.

$$x+2$$