Solve 1/x-mx^-2

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

Evaluate

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

Short Solution Steps

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

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

Since \frac{1}{x} and \frac{mx^{-2}x}{x} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in 1-mx^{-2}x.

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

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

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

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

$$\frac{\frac{x}{x}-\frac{m}{x}}{x}$$

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

$$\frac{\frac{x-m}{x}}{x}$$

Express \frac{\frac{x-m}{x}}{x} as a single fraction.

$$\frac{x-m}{xx}$$

Multiply x and x to get x^{2}.

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

Factor

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