Solve 3/y-1+1/1-y

$$\frac { 3 } { y - 1 } + \frac { 1 } { 1 - y }$$

Evaluate

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

Solution Steps

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

$$\frac{3}{y-1}+\frac{-1}{y-1}$$

Since \frac{3}{y-1} and \frac{-1}{y-1} have the same denominator, add them by adding their numerators. Subtract 1 from 3 to get 2.

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

Differentiate w.r.t. y

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