Solve x/{x_{2}}+frac{{x}_{2}}{x}

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

Evaluate

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

Short Solution Steps

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

$$\frac{xx}{xx_{2}}+\frac{x_{2}x_{2}}{xx_{2}}$$

Since \frac{xx}{xx_{2}} and \frac{x_{2}x_{2}}{xx_{2}} have the same denominator, add them by adding their numerators.

$$\frac{xx+x_{2}x_{2}}{xx_{2}}$$

Do the multiplications in xx+x_{2}x_{2}.

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

Factor

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