Both the product and the domain match. $\displaystyle\frac{{{{x}}^{{2}}}}{{{x}-{1}}}\div\frac{{{x}+{2}}}{{{{x}}^{{2}}-{1}}}=\frac{{{{x}}^{{3}}+{{x}}^{{2}}}}{{{x}+{2}}}\usepackage{cmbright}\Huge\$ , and $\displaystyle{x}=-{1}\usepackage{cmbright}\Huge\$ , 1, and -2 are excluded from the domain because those values for x yield a numerator or denominator of 0 in the divisor.