Solve (1-v(1/r))3/31

$$( 1 - v ( \frac { 1 } { r } ) ) \frac { 3 } { 3 } 1$$

Evaluate

$$\frac{r-v}{r}$$

Solution Steps

Divide 3 by 3 to get 1.

$$\left(1-v\times \frac{1}{r}\right)\times 1\times 1$$

Express v\times \frac{1}{r} as a single fraction.

$$\left(1-\frac{v}{r}\right)\times 1\times 1$$

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

$$\left(\frac{r}{r}-\frac{v}{r}\right)\times 1\times 1$$

Since \frac{r}{r} and \frac{v}{r} have the same denominator, subtract them by subtracting their numerators.

$$\frac{r-v}{r}\times 1\times 1$$

Multiply 1 and 1 to get 1.

$$\frac{r-v}{r}$$

Differentiate w.r.t. r

$$\frac{v}{r^{2}}$$