Solve 2x^3/x^3+2x/x^3

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

Evaluate

$$2+\frac{2}{x^{2}}$$

Short Solution Steps

Cancel out x^{3} in both numerator and denominator.

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

Cancel out x in both numerator and denominator.

$$2+\frac{2}{x^{2}}$$

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

$$\frac{2x^{2}}{x^{2}}+\frac{2}{x^{2}}$$

Since \frac{2x^{2}}{x^{2}} and \frac{2}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{2x^{2}+2}{x^{2}}$$

Factor

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