Solve x^2-x/2

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

Factor

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

Solution Steps

Factor out \frac{1}{2}.

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

Consider 2x^{2}-x. Factor out x.

$$x\left(2x-1\right)$$

Rewrite the complete factored expression.

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

Evaluate

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

Solution Steps

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

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

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

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