In https://www.youtube.com/watch?v=0as464WmfCo it is mentioned that the following is simplified via the "absorption" law: $$A + \widehat{A}B = A + B.$$
However https://www.youtube.com/watch?v=tWU1mGCT_34 at around 4:40 it states this is not an example of the absorption law.
So by what rule is the above simplified (assuming the first video had it correct)?