How would the fate of Western Europe have changed if in 732 the Arabs had defeated the Franks at the Battle of Poitiers?

A Muslim victory at the Battle of Poitiers would seem to have brought them under control of former Gaul. Then, in the fight against them, Germany would have united and began to reclaim the lands of southern Europe from the Muslims.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.