91Ó°ÊÓ

In the following exercise, perform the indicated operation:

$\frac{5}{x^2+8x-9}-\frac{4}{x^2+10x+9}$

In the following exercise, perform the indicated operation:

$\frac{3}{2x^2+5x+2}-\frac{1}{2x^2+3x+1}$

In the following expression, perform the indicated operation:

$\frac{5a}{a-2}+\frac{9}{a}-\frac{2a+18}{a^2-2a}$

In the following exercise, perform the indicated operation:

$\frac{2b}{b-5}+\frac{3}{2b}-\frac{2b-15}{2b^2-10b}$

In the following exercise, perform the indicated operation:

$\frac{c}{c+2}+\frac{5}{c-2}-\frac{10c}{c^2-4}$

Simplify the rational expression$\frac{y^2-2y-3}{y^2-9}.$

In the following exercise, perform the indicated operation:

$\frac{6d}{d-5}+\frac{1}{d+4}-\frac{7d-5}{d^2-d-20}$

In the following exercise, perform the indicated operation:

$\frac{3d}{d+2}+\frac{4}{d}-\frac{d+8}{d^2+2d}$

In the following exercise, perform the indicated operation:

$\frac{2q}{q+5}+\frac{3}{q-3}-\frac{13q+15}{q^2+2q-15}$

In the following exercise, find

(a) $R\left(x\right)=f\left(x\right)+g\left(x\right)$

(b) $R\left(x\right)=f\left(x\right)-g\left(x\right)$:

$$\begin{gathered} f\left(x\right)=\frac{-5x-5}{x^2+x-6} \\ g\left(x\right)=\frac{x+1}{2-x} \end{gathered}$$