Solve -x^3-2*1/x^2

$$- { x }^{ 3 } -2 \times \frac{ 1 }{ { x }^{ 2 } }$$

Evaluate

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

Short Solution Steps

Express 2\times \frac{1}{x^{2}} as a single fraction.

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

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

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

Since -\frac{x^{3}x^{2}}{x^{2}} and \frac{2}{x^{2}} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in -x^{3}x^{2}-2.

$$\frac{-x^{5}-2}{x^{2}}$$

Factor

$$\frac{-x^{5}-2}{x^{2}}$$