The differential cross-section of prompt photon production in the subprocess of bremsstrahlung qq→qqγ of proton-proton collisions at energies √s=10 GeV has been determined without and taking into account of longitudinal polarization of colliding particles. The dependence of differential cross section of bremsstrahlung process on the energy of the colliding particles √s, the transverse momentum pT, the cosine of the scattering angle Cos(θ), the rapidity y of photon and xT has been investigated. The ratio of the differential cross section of bremsstrahlung to the sum of the differential cross sections of Compton scattering of a quark-gluon, annihilation of a quark-antiquark pair, and bremsstrahlung is 0.03%.