Using the soft and/or collinear gluon approximation initiated in Refs. [1-5], we have revisited the dominant terms coming from the bremsstrahlung and set a prescription to identify exactly the corresponding contributing unitary Feynman diagrams. It turns out that the calculation of the related transition amplitudes becomes very simple and needs only the use of a few tabulated simple integral results. This will reduce considerably the number of Feynman diagrams and the very complicated integral calculations. Moreover, the simple result will help to get a global idea on the size of the higher order corrections and their sign, and test the convergence of the perturbative series expansion.