8. Rational Expressions and Equations

Add the following expressions and simplify if possible:

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

Add the following expressions and simplify if possible:

$\frac{x}{x+2}+\frac{2}{(x+2)(x+3)}$

Add the following expressions and simplify if possible:

$\frac{4}{x-5}+\frac{3}{5-x}$

Add the following expressions and simplify if possible:

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