Answer
$${\text{True}}$$
Work Step by Step
$$\eqalign{
& {\text{True, the partial decomposition of }}\frac{{2x + 3}}{{{x^2}}} = \frac{2}{x} + \frac{3}{{{x^2}}},{\text{ because }} \cr
& {\text{if add }}\frac{2}{x} + \frac{3}{{{x^2}}}{\text{ we obtain }}\frac{{2x + 3}}{{{x^2}}} \cr} $$