Hi and welcome to HCM. Thak you for your querry.
I am sorry about your mother. Unfortunately liver cancer
is one of the most serious tumors. If it is inoperable it means that it infiltrated and metastasised to surrounding organs. Life expectancy after that is short, usually only few months(2-6) especiailly if she has jaundice
and poor general health. YOu should treat her symptoms and control pain,everything else isnt in your hands but dont lose hope. There are reported cases that patients lived even 1-2 years after such diagnosis,but maybe it is more important to make her feel complacent in these hard days.
WIsh you good health.