Solve =13/x-1-1/1-x

$$= \frac { 13 } { x - 1 } - \frac { 1 } { 1 - x }$$

Evaluate

$$\frac{14}{x-1}$$

Short Solution Steps

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

$$\frac{13}{x-1}-\frac{-1}{x-1}$$

Since \frac{13}{x-1} and \frac{-1}{x-1} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-\left(-1\right)}{x-1}$$

Do the multiplications in 13-\left(-1\right).

$$\frac{13+1}{x-1}$$

Do the calculations in 13+1.

$$\frac{14}{x-1}$$

Differentiate w.r.t. x

$$-\frac{14}{\left(x-1\right)^{2}}$$