Solve -x^5-x-x^2:x^4=

$$- x ^ { 5 } - x - x ^ { 2 } : x ^ { 4 } =$$

Evaluate

$$-x^{5}-x-\frac{1}{x^{2}}$$

Short Solution Steps

Rewrite x^{4} as x^{2}x^{2}. Cancel out x^{2} in both numerator and denominator.

$$-x^{5}-x-\frac{1}{x^{2}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -x^{5}-x times \frac{x^{2}}{x^{2}}.

$$\frac{\left(-x^{5}-x\right)x^{2}}{x^{2}}-\frac{1}{x^{2}}$$

Since \frac{\left(-x^{5}-x\right)x^{2}}{x^{2}} and \frac{1}{x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\left(-x^{5}-x\right)x^{2}-1}{x^{2}}$$

Do the multiplications in \left(-x^{5}-x\right)x^{2}-1.

$$\frac{-x^{7}-x^{3}-1}{x^{2}}$$

Factor

$$-\frac{x^{7}+x^{3}+1}{x^{2}}$$