Solve (x^4-1/x^4)

$$( x ^ { 4 } - \frac { 1 } { x ^ { 4 } } )$$

Evaluate

$$x^{4}-\frac{1}{x^{4}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{4} times \frac{x^{4}}{x^{4}}.

$$\frac{x^{4}x^{4}}{x^{4}}-\frac{1}{x^{4}}$$

Since \frac{x^{4}x^{4}}{x^{4}} and \frac{1}{x^{4}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x^{4}x^{4}-1}{x^{4}}$$

Do the multiplications in x^{4}x^{4}-1.

$$\frac{x^{8}-1}{x^{4}}$$

Factor

$$\frac{\left(x-1\right)\left(x+1\right)\left(x^{2}+1\right)\left(x^{4}+1\right)}{x^{4}}$$