Answer:
[tex]
\huge\red{ \bold{\frac{2x + 1}{ {x}^{2} + 1} }} [/tex]
Step-by-step explanation:
[tex] \frac{x - 2}{ {x}^{2} + 1} + \frac{x + 3}{ {x}^{2} + 1} \\ \\ = \frac{x - 2 + x + 3}{ {x}^{2} + 1} \\ \\ = \frac{2x + 1}{ {x}^{2} + 1} \\ \\ \red{ \bold{\therefore \: \frac{x - 2}{ {x}^{2} + 1} + \frac{x + 3}{ {x}^{2} + 1}}} \blue{ \bold{ = }} \purple{ \bold{\frac{2x + 1}{ {x}^{2} + 1} }} \\[/tex]
