Solve x^3+1/x^3

$$x ^ { 3 } + \frac { 1 } { x ^ { 3 } }$$

Evaluate

$$x^{3}+\frac{1}{x^{3}}$$

Short Solution Steps

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

$$\frac{x^{3}x^{3}}{x^{3}}+\frac{1}{x^{3}}$$

Since \frac{x^{3}x^{3}}{x^{3}} and \frac{1}{x^{3}} have the same denominator, add them by adding their numerators.

$$\frac{x^{3}x^{3}+1}{x^{3}}$$

Do the multiplications in x^{3}x^{3}+1.

$$\frac{x^{6}+1}{x^{3}}$$

Factor

$$\frac{\left(x^{2}+1\right)\left(x^{4}-x^{2}+1\right)}{x^{3}}$$