Solve {l}{2-1/x_{2}}{-1/x_{2}}

$$\left. \begin{array} { l } { 2 - \frac { 1 } { x _ { 2 } } } \\ { - \frac { 1 } { x _ { 2 } } } \end{array} \right.$$

Evaluate

$$2-\frac{2}{x_{2}}$$

Short Solution Steps

Combine -\frac{1}{x_{2}} and -\frac{1}{x_{2}} to get 2\left(-\frac{1}{x_{2}}\right).

$$2+2\left(-\frac{1}{x_{2}}\right)$$

Express 2\left(-\frac{1}{x_{2}}\right) as a single fraction.

$$2+\frac{-2}{x_{2}}$$

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

$$\frac{2\left(x_{2}-1\right)}{x_{2}}$$