Neither the product nor the domain matches. $\displaystyle\frac{{x}}{{{x}-{1}}}\div\frac{{{x}+{2}}}{{x}}=\frac{{{x}}^{{2}}}{{{{x}}^{{2}}+{x}-{2}}}\usepackage{cmbright}\Huge\$ . The domain of this expression is all $\displaystyle{x}\usepackage{cmbright}\Huge\$ , $\displaystyle{x}\ne{0}\usepackage{cmbright}\Huge\$ , 1, -2.