Solve x^3/3+x

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

Factor

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

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.

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

Evaluate

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

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.

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