Solve 2v/u-v+1

$$\frac { 2 v } { u - v } + 1$$

Evaluate

$$\frac{u+v}{u-v}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{u-v}{u-v}.

$$\frac{2v}{u-v}+\frac{u-v}{u-v}$$

Since \frac{2v}{u-v} and \frac{u-v}{u-v} have the same denominator, add them by adding their numerators.

$$\frac{2v+u-v}{u-v}$$

Combine like terms in 2v+u-v.

$$\frac{v+u}{u-v}$$

Differentiate w.r.t. u

$$-\frac{2v}{\left(v-u\right)^{2}}$$