Answer
$Kc = \frac{P[O_{2}]^3}{P[O_{3}]^2}$
homogeneous
Work Step by Step
The expression of Kc is the concentration of the products raised to their coefficients divided by the concentration of the reactants raised to their coefficients.
$Kc = \frac{[O_{2}]^3}{[O_{3}]^2}$
Since we have gases and not aqueous solutions, we have partial pressures and not concentration so we have:
Both reactants and products are gases so it is homogeneous
$Kc = \frac{P[O_{2}]^3}{P[O_{3}]^2}$