Correct. To simplify rational expressions, factor the numerator and denominator. Separate the like factors from the others, and simplify fractions with equal numerators and denominators to 1.

$\displaystyle\frac{{{x}+{5}}}{{{{x}}^{{2}}+{7}{x}+{10}}}=\frac{{{x}+{5}}}{{{\left({x}+{5}\right)}{\left({x}+{2}\right)}}}=\frac{{{x}+{5}}}{{{x}+{5}}}\cdot\frac{{1}}{{{x}+{2}}}={1}\cdot\frac{{{1}}}{{{x}+{2}}}=\frac{{1}}{{{x}+{2}}}\usepackage{cmbright}\Huge\$