Solve x-x^3/6

$$x - \frac { x ^ { 3 } } { 6 }$$

Evaluate

$$-\frac{x^{3}}{6}+x$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{6}{6}.

$$\frac{6x}{6}-\frac{x^{3}}{6}$$

Since \frac{6x}{6} and \frac{x^{3}}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6x-x^{3}}{6}$$

Factor

$$\frac{x\left(6-x^{2}\right)}{6}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{6x-x^{3}}{6}$$

Consider 6x-x^{3}. Factor out x.

$$x\left(6-x^{2}\right)$$

Rewrite the complete factored expression. Polynomial 6-x^{2} is not factored since it does not have any rational roots.

$$\frac{x\left(6-x^{2}\right)}{6}$$