Solve 1-x/x-2-1/2-x

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

Evaluate

$$-1$$

Short Solution Steps

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

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

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

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

Do the multiplications in 1-x-\left(-1\right).

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

Combine like terms in 1-x+1.

$$\frac{2-x}{x-2}$$

Extract the negative sign in 2-x.

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

Cancel out x-2 in both numerator and denominator.

$$-1$$

Factor

$$-1$$