Simplify (x^2-4)/(x+2)+(x-3)/(x+2)

$\frac{x^{2} - 4}{x + 2} + \frac{x - 3}{x + 2}$

Combine the numerators over the common denominator.

$\frac{x^{2} - 4 + x - 3}{x + 2}$