# How do you multiply (r+3)^2/(4r^3s)div(r+3)/(rs)?

Mar 29, 2017

= (r + 3)/(4r^2

#### Explanation:

${\left(r + 3\right)}^{2} / \left(4 {r}^{3} s\right) \div \frac{r + 3}{r s}$

change the sign $\div \to \text{X}$, then change the position for the RHS expressions

${\left(r + 3\right)}^{\cancel{2}} / \left(4 {r}^{\cancel{3}} \cancel{s}\right) X \frac{\cancel{r s}}{\cancel{r + 3}}$

= (r + 3)/(4r^2

Mar 29, 2017

color(red)((r+3)/(4r^2)

#### Explanation:

$\frac{{\left(r + 3\right)}^{2}}{4 {r}^{3} s} \div \frac{r + 3}{r s}$

$\therefore = \frac{\left(r + 3\right) \left(r + 3\right)}{4 {r}^{3} s} \div \frac{r + 3}{r s}$

$\therefore = \frac{\left(r + 3\right) {\left(\cancel{r + 3}\right)}^{\textcolor{red}{1}}}{4 {\cancel{{r}^{3}}}^{\textcolor{red}{2}} {\cancel{s}}^{1}} \times \frac{{\cancel{r s}}^{\textcolor{red}{1}}}{\cancel{r + 3}} ^ \textcolor{red}{1}$

:.=color(red)((r+3)/(4r^2)