Solve f(x)=2x-24000/x^2

$$f ( x ) = 2 x - \frac { 24000 } { x ^ { 2 } }$$

Evaluate

$$2x-\frac{24000}{x^{2}}$$

Short Solution Steps

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

$$\frac{2xx^{2}}{x^{2}}-\frac{24000}{x^{2}}$$

Since \frac{2xx^{2}}{x^{2}} and \frac{24000}{x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2xx^{2}-24000}{x^{2}}$$

Do the multiplications in 2xx^{2}-24000.

$$\frac{2x^{3}-24000}{x^{2}}$$

Factor

$$\frac{2\left(x^{3}-12000\right)}{x^{2}}$$