[scikit-learn] PolynomialFeatures

Hello team, Can I double check with you that I understand correctly what the PolynomialFeatures() is doing under the hood? If I set it like this: poly = PolynomialFeatures(degree=3, interaction_only=False, include_bias=False) and I fit it on a dataset with 3 variables, a,b and c. Am I correct to say that the fit() method creates all possible combinations like this: a; b; c; (a+b)^2 (a+b)^3 (a+c)^2 (a+c)^3 (c+b)^2 (c+b)^3 (a+b+c)^2 (a+b+c)^3 And the transform() generates the expansion, without the constant that multiplies the interactions and avoiding duplicated terms after the expansion? Thanks for the help. Kind regards Sole