The discussion revolves around rewriting the expression \arctan(a*b) using a product rule, which is not readily available in standard references. Participants note that while there are formulas for the sum and difference of arctangents, a direct product rule does not exist. One user attempts to manipulate the expression into a form involving \arctan(\tan(A)B) and considers using a Taylor expansion for simplification. However, they express uncertainty about the feasibility of this approach without a clear method for handling sums within the arctangent function. The conversation highlights the need for more specific problem context to provide a better solution.