Solve x^3+1/x^3-2

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{3}-2 times \frac{x^{3}}{x^{3}}.

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

Since \frac{\left(x^{3}-2\right)x^{3}}{x^{3}} and \frac{1}{x^{3}} have the same denominator, add them by adding their numerators.

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

Do the multiplications in \left(x^{3}-2\right)x^{3}+1.

$$\frac{x^{6}-2x^{3}+1}{x^{3}}$$

Factor

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