Solve x^3div3-x^2

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

Evaluate

$$\frac{\left(x-3\right)x^{2}}{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{3}{3}.

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

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

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

Factor

$$\frac{\left(x-3\right)x^{2}}{3}$$

Solution Steps

Factor out \frac{1}{3}.

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

Consider x^{3}-3x^{2}. Factor out x^{2}.

$$x^{2}\left(x-3\right)$$

Rewrite the complete factored expression.

$$\frac{x^{2}\left(x-3\right)}{3}$$