Correct. Since the expressions share a common denominator, you can subtract the numerators and simplify. $\displaystyle\frac{{{5}{{x}}^{{2}}+{2}{x}}}{{{{x}}^{{2}}+{2}{x}-{8}}}-\frac{{{{x}}^{{2}}+{10}{x}}}{{{{x}}^{{2}}+{2}{x}-{8}}}=\frac{{{4}{x}}}{{{x}+{4}}}\usepackage{cmbright}\Huge\$