Directions:
Simplify each expression.
Assume that m is a natural number and that all
values of the variables that cause division by 0 are
excluded.
$$
\mbox{a.} \,\,\, \frac{x^m}{x^{2m}-4}-\frac{2}{x^{2m}-4} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,
$$
$$
\mbox{b.} \,\,\, \frac{2x^m}{x^{2m}-6x^m+9}-\frac{6}{x^{2m}-6x^m+9}
$$
$$
\mbox{c.} \,\,\, \frac{3x^m}{x^{2m}-x^m-20}-\frac{15}{x^{2m}-x^m-20}
$$