Incorrect. Notice that both fractions share the same denominator. This means that $\displaystyle\frac{{{{x}}^{{2}}+{4}{x}}}{{{x}+{3}}}+\frac{{{x}+{6}}}{{{x}+{3}}}=\frac{{{\left({{x}}^{{2}}+{4}{x}\right)}+{\left({x}+{6}\right)}}}{{{x}+{3}}}\usepackage{cmbright}\Huge\$ . Notice that the numerator is the trinomial $\displaystyle{{x}}^{{2}}+{5}{x}+{6}\usepackage{cmbright}\Huge\$ ; can this trinomial be factored?