Solve k-4/2x

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

Evaluate

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

Short Solution Steps

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

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

Since \frac{k\times 2x}{2x} and \frac{4}{2x} have the same denominator, subtract them by subtracting their numerators.

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

Factor the expressions that are not already factored in \frac{k\times 2x-4}{2x}.

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

Cancel out 2 in both numerator and denominator.

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

Differentiate w.r.t. x

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