Solve 3(1/x)^2-(1/x)

$$3 ( 1 / x ) ^ { 2 } - ( 1 / x )$$

Evaluate

$$-\frac{x-3}{x^{2}}$$

Short Solution Steps

To raise \frac{1}{x} to a power, raise both numerator and denominator to the power and then divide.

$$3\times \frac{1^{2}}{x^{2}}-\frac{1}{x}$$

Express 3\times \frac{1^{2}}{x^{2}} as a single fraction.

$$\frac{3\times 1^{2}}{x^{2}}-\frac{1}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{2} and x is x^{2}. Multiply \frac{1}{x} times \frac{x}{x}.

$$\frac{3\times 1^{2}}{x^{2}}-\frac{x}{x^{2}}$$

Since \frac{3\times 1^{2}}{x^{2}} and \frac{x}{x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\times 1^{2}-x}{x^{2}}$$

Do the multiplications in 3\times 1^{2}-x.

$$\frac{3-x}{x^{2}}$$

Factor

$$-\frac{x-3}{x^{2}}$$