Solve -x^3/3+x

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

Evaluate

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

Short Solution Steps

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

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

Since \frac{-x^{3}}{3} and \frac{3x}{3} have the same denominator, add them by adding their numerators.

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

Factor

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

Solution Steps

Factor out \frac{1}{3}.

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

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

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

Rewrite the complete factored expression. Polynomial -x^{2}+3 is not factored since it does not have any rational roots.

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