Incorrect. Rewrite the division problem as a multiplication problem:

$\displaystyle\frac{{\frac{{{x}-{5}}}{{{{x}}^{{2}}-{100}}}}}{{\frac{{{{x}}^{{2}}-{25}}}{{{2}{x}+{20}}}}}=\frac{{{x}-{5}}}{{{{x}}^{{2}}-{100}}}\div\frac{{{{x}}^{{2}}-{25}}}{{{2}{x}+{20}}}=\frac{{{x}-{5}}}{{{{x}}^{{2}}-{100}}}\cdot\frac{{{2}{x}+{20}}}{{{{x}}^{{2}}-{25}}}\usepackage{cmbright}\Huge\$

Factor the denominators. Regroup common factors of the numerator and denominator into one fraction and simplify.