Simplify (x-2)/(x^2+1)+(x+3)/(x^2+1)

$\frac{x - 2}{x^{2} + 1} + \frac{x + 3}{x^{2} + 1}$

Step 1

Combine the numerators over the common denominator.

$\frac{x - 2 + x + 3}{x^{2} + 1}$

Step 2

Add $x$ and $x$ .

$\frac{2 x - 2 + 3}{x^{2} + 1}$

Step 3

Add $- 2$ and $3$ .

$\frac{2 x + 1}{x^{2} + 1}$