In our timeline (the OTL) when the new world was discovered the French started colonising the middle of the OTL USA and the region of Québec but the british take over everything. So I will discuss what would of happened if the French were more strong.
In America the French win the war againts the English and their demands were that the English Canada and the sooner thirteen colonies were annexed by them.
Independence of USA
Pretty much the same only two thing changed.
- That the USA's official languages is French.
- The purchase for Louisiana was asked from civilians of Louisiana.
Pretty much the same just that the official language is French and that the Yukon, Alberta and Columbia were colonised by France.