Incorrect. Since the denominators are the same, you can subtract the numerators: $\displaystyle\frac{{{3}{{x}}^{{2}}+{10}}}{{{{x}}^{{2}}+{6}{x}+{5}}}-\frac{{{2}{{x}}^{{2}}-{7}{x}}}{{{{x}}^{{2}}+{6}{x}+{5}}}=\frac{{{3}{{x}}^{{2}}+{10}-{\left({2}{{x}}^{{2}}-{7}{x}\right)}}}{{{{x}}^{{2}}+{6}{x}+{5}}}\usepackage{cmbright}\Huge\$ . Can you simplify this expression? What does the denominator tell you about the domain?