Propionic acid with ${\text{Br}}_2/\text{P}$ yields a dibromo product. Its structure would be:

Bromination in the presence of Red P is the Hell-Volhard-Zelinsky (HVZ) reaction, which substitutes $\alpha$ -hydrogens.Propionic acid is ${\text{CH}}_3-{\text{CH}}_2-\text{COOH}$.The $\alpha$ -carbon is the second carbon. Substituting both $\alpha$ -hydrogens gives $2,2$ -dibromopropanoic acid: ${\text{CH}}_3{\text{CBr}}_2\text{COOH}$.