Conquer, enslave, exterminate which they did
In 1230, following the Golden Bull of Rimini, Grand Master Hermann von Salza and Duke Konrad I of Masovia launched the Prussian Crusade, a joint invasion of Prussia intended to Christianise the Baltic Old Prussians.
Was the duke Konrad a Teuton?
RP did not exterminate Ukraine
It never could, but it ruined with its "Christenizing" brutalities the cultures of the Baltic tribes.
It is how I see your brain sometimes. I just want to add nuclear to it.
If there was no Grunwald the Teutons would eventually conquer Lithuania, besiege Poland from three sides and destroy it, then they would have another go at Novgorod, this time with and an army ten or twenty times larger and do what they always did, burn the city and kill off all its inhabitants (they did it to Poles in Gdańsk and in many other cities), then they would do the sam to Kiev and then to Moscow.
It is funny, but instead of them that what exacly happened after Polish-Lithuanian Commonwealth won the battle. Sokrates, it doesn't matter what language you speak, if one is a religious fanatic with brutal mindset the consequences for the region would be the same. And they were. There was the siege of Kyiv, Moscow, destruction of the Lithuanian ancient culture, burning of cities and extermination of people, latinization of the "barbaric wastelands" as a diligent Polish student of history like you would call it.
IF you read a bit of history of Poland
I read history as a whole written by as much as possible non-interested in the outcome people. You do the opposite and your knowledge is highly skewed and boring by presenting the same one-sided approach.