The product matches, but the domain does not. $\displaystyle\frac{{{{x}}^{{2}}}}{{{x}-{5}}}\div\frac{{{x}+{2}}}{{{{x}}^{{2}}-{4}{x}-{5}}}=\frac{{{{x}}^{{3}}+{{x}}^{{2}}}}{{{x}+{2}}}\usepackage{cmbright}\Huge\$ . The domain of this expression is all $\displaystyle{x}\usepackage{cmbright}\Huge\$ , $\displaystyle{x}\ne{5}\usepackage{cmbright}\Huge\$ , -2, and -1.