Solve x^3-1/x^34

$${ x }^{ 3 } - \frac{ 1 }{ { x }^{ 3 } } 4$$

Evaluate

$$x^{3}-\frac{4}{x^{3}}$$

Short Solution Steps

Express \frac{1}{x^{3}}\times 4 as a single fraction.

$$x^{3}-\frac{4}{x^{3}}$$

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

$$\frac{x^{3}x^{3}}{x^{3}}-\frac{4}{x^{3}}$$

Since \frac{x^{3}x^{3}}{x^{3}} and \frac{4}{x^{3}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x^{3}x^{3}-4}{x^{3}}$$

Do the multiplications in x^{3}x^{3}-4.

$$\frac{x^{6}-4}{x^{3}}$$

Factor

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