Solve y(x)=x+3x^2-x^3/3

$$y ( x ) = x + 3 x ^ { 2 } - \frac { x ^ { 3 } } { 3 }$$

Evaluate

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

Short Solution Steps

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

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

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

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

Do the multiplications in 3\left(x+3x^{2}\right)-x^{3}.

$$\frac{3x+9x^{2}-x^{3}}{3}$$

Factor

$$-\frac{1}{3}x\left(x-\frac{9-\sqrt{93}}{2}\right)\left(x-\frac{\sqrt{93}+9}{2}\right)$$