91Ó°ÊÓ

In the following exercises, divide.

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

In the following exercises, divide.

$\frac{3y^2-12y-63}{4y+3}÷\left(6y^2-42y\right)$

In the following exercises, divide.

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

In the following exercises, simplify.

$\frac{v^3-1}{v^2-1}$

In the following exercises, simplify.

$\frac{w^3+216}{w^2-36}$

In the following exercises, find the LCD.

$\frac{5}{3p^2+19p+6},\frac{2p}{3p^2+25p+8}$

In the following exercises, rewrite as equivalent rational expressions with the given denominator.

$(m+2)(m−5)(m+4)$

$\frac{4}{m^2-3m-10},\frac{2m}{m^2-m-20}$

In the following exercises, rewrite as equivalent rational expressions with the given denominator.

$(n-2)(n−2)(n+2)$

$\frac{6}{n^2-4n+4},\frac{2n}{n^2-4}$

In the following exercises, rewrite as equivalent rational expressions with the given denominator.

$(3p+1)(p+6)(p+8)$

$\frac{5}{3p^2+19p+6},\frac{7p}{3p^2+25p+8}$

In the following exercises, add.

$\frac{2}{3}+\frac{3}{5}$