/sci/ - Science & Math

what is the rational way to solve shit like that?
I've just deconstructed (3^32-2^32), another solution I saw multiplied both parts by 5 to get rid of 0,2. This make sense, ofc, but then it proceeds to transform 5 into (3^2-2^2).
I have no issues understanding why is that so but is there some kind of forumla for that or something? Because imagine it wasnt 5 but 2345326546324623 - you cant just transform it into sum of quadrats or whatever easily.