Correct. $\displaystyle\frac{{{9}{x}-{6}}}{{{{x}}^{{2}}-{1}}}-\frac{{{8}{x}-{5}}}{{{{x}}^{{2}}-{1}}}=\frac{{1}}{{{x}+{1}}}\usepackage{cmbright}\Huge\$ ; the domain excludes $\displaystyle{x}=-{1}\usepackage{cmbright}\Huge\$ and $\displaystyle{x}={1}\usepackage{cmbright}\Huge\$ because these values yield 0 in the denominators.