Solve 1/x^3-1/x^5

$$\frac{ 1 }{ { x }^{ 3 } } - \frac{ 1 }{ { x }^{ 5 } }$$

Evaluate

$$\frac{x^{2}-1}{x^{5}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{3} and x^{5} is x^{5}. Multiply \frac{1}{x^{3}} times \frac{x^{2}}{x^{2}}.

$$\frac{x^{2}}{x^{5}}-\frac{1}{x^{5}}$$

Since \frac{x^{2}}{x^{5}} and \frac{1}{x^{5}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x^{2}-1}{x^{5}}$$

Factor

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