91Ó°ÊÓ

Divide$\frac{11+\mathrm{w}}{\mathrm{w}-9}÷\frac{121-{\mathrm{w}}^2}{9-\mathrm{w}}$

Divide the rational expression$\frac{3{\mathrm{y}}^2-12\mathrm{y}-63}{4\mathrm{y}+3}÷(6{\mathrm{y}}^2-42\mathrm{y})$

In the following exercise, divide.

$\frac{{\displaystyle \frac{c^2-64}{3c^2+26c+16}}}{{\displaystyle \frac{c^2-4c-32}{15c+10}}}$

In the following exercise, divide.

$\frac{8a^2+16a}{a-4}.\frac{a^2+2a-24}{a^2+7a+10}÷\frac{2a^2-6a}{a+5}$

Find $R\left(x\right)=f\left(x\right).g\left(x\right)$, where

$$\begin{gathered} f\left(x\right)=\frac{9x^2+9x}{x^2-3x-4} \\ g\left(x\right)=\frac{x^2-16}{3x^2+12x} \end{gathered}$$

Find $R\left(x\right)=\frac{f\left(x\right)}{g\left(x\right)}$, where

$$\begin{gathered} f\left(x\right)=\frac{27x^2}{3x-21} \\ g\left(x\right)=\frac{9x^2+54x}{x^2-x-42} \end{gathered}$$

In the following exercises, perform the indicated operations.

$\frac{7}{15}+\frac{8}{15}$

In the following exercises, perform the indicated operations.

$\frac{4a^2}{2a-1}-\frac{1}{2a-1}$

In the following exercises, perform the indicated operations.

$\frac{y^2+10y}{y+5}+\frac{25}{y+5}$

In the following exercises, determine the values for which the rational expression is defined.

$$\begin{gathered} \left(\text{a}\right)\frac{5p{q}^2}{9q} \\ \left(\text{b}\right)\frac{7a-4}{3a+5} \\ \left(\text{c}\right)\frac{1}{x^2-4} \end{gathered}$$