in the hadith of mother deserving 3 times more than father. what exactly it is that the mother deserves more than father? pls explain based on this, some people say that mother have 3 times higher status than father and that mother should be obeyed and respected more than the father. is this true?

Ustadh AbdulAziz al-Haqqan
The hadith is agreed upon (al-Bukhārī and Muslim): a man asked the Prophet ﷺ who is most deserving of his good companionship, and he ﷺ answered, your mother, then your mother, then your mother, then your father. The people of knowledge, among them Imam Ibn Baz raḥimahullāh, explained that this means the mother is given three times the share of the father in kindness, gentle treatment, and good companionship (husn al-suhba and birr), because of the greater hardship she bore in carrying you, giving birth to you, nursing you, and raising you. It does not mean the father is set aside or belittled, for he comes directly after her and his right upon you is great. So the precedence the hadith establishes is in kindness and devoted care, not a call to lower the standing of the father.