Treaty of verdun led to the formation of?

The correct answer is :

Summary: The Treaty of Verdun was the treaty that put an end to the Carolingian civil war, where the three sons of Ludovico Pío (grandsons of Charlemagne) fought for power. Charles the Bald, Lotario I and Luis the Germanic signed in the year 843 the Treaty of Verdún, by which they divided and they distributed the Empire of Charlemagne. Charles obtained the western regions of the Empire (present France). Luis took for himself the oriental regions (present territory of Germany). Lothair, on the other hand, chose the imperial capitals: Rome and Aachen, nestled in a narrow strip of land between the domains of his two brothers, which ran from Italy to the North Sea.

Although the Treaty of Verdun forever ended Charlemagne's dreams of a resurrection of the Roman Empire in Western Europe, it laid the foundation of what would be the nation of France to the west, which was the territory that Charles obtained in this treaty and that for the first time instead it receives that denomination instead of the traditional name of Galia, and Germany to the east (the dominions of Luis). The territory of Lotario will be known in the Middle Ages as the Lotharingia, geographical name that includes Flanders (the current Belgium and Holland), the French regions of Alsace and Lorraine, and northern Italy. Please check the map attached.

answer

explanation

the given equation is

we can rewrite this as:

let

then the equation becomes:

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

we factor by grouping to obtain:

apply the zero product property to get:

but

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