Correct. $\displaystyle{\left({{a}}^{{2}}+{5}{a}-{1}\right)}{\left({2}{{a}}^{{2}}-{4}{a}+{3}\right)}={2}{{a}}^{{4}}-{4}{{a}}^{{3}}+{3}{{a}}^{{2}}+{10}{{a}}^{{3}}-{20}{{a}}^{{2}}+{15}{a}-{2}{{a}}^{{2}}+{4}{a}-{3}\usepackage{cmbright}\Huge\$ . Combining like terms yields the answer of $\displaystyle{2}{{a}}^{{4}}+{6}{{a}}^{{3}}-{19}{{a}}^{{2}}+{19}{a}-{3}\usepackage{cmbright}\Huge\$ .