In this short expository note, we provide an introduction to a distribution testing (and, more generally, indistinguishability) lower bound method based on moment-matching via polynomials. This method, which underlies several of the tight lower bounds on estimating symmetric properties, had for many years appeared mysterious and near-magical to the author. With this note, he hopes to avoid to others a similar years-long confusion, and enable them to use this very elegant, yet not quite magical, technique.