Solve x^8-1divx^2-1

$$x ^ { 8 } - 1 \div x ^ { 2 } - 1$$

Evaluate

$$x^{8}-1-\frac{1}{x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{8}-1 times \frac{x^{2}}{x^{2}}.

$$\frac{\left(x^{8}-1\right)x^{2}}{x^{2}}-\frac{1}{x^{2}}$$

Since \frac{\left(x^{8}-1\right)x^{2}}{x^{2}} and \frac{1}{x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\left(x^{8}-1\right)x^{2}-1}{x^{2}}$$

Do the multiplications in \left(x^{8}-1\right)x^{2}-1.

$$\frac{x^{10}-x^{2}-1}{x^{2}}$$

Factor

$$\frac{x^{10}-x^{2}-1}{x^{2}}$$