And students need not memorise the equation, instead they can derive it from another equally unintuitive equation then go through many logical steps of multipli

And students need not memorise the equation, instead they can derive it from another equally unintuitive equation then go through many logical steps of multiplication, simplification and refactoring - each being locations where students are likely to introduce errors. This is not simpler for the student. Its is, at best, a simpler way to derive the equation, a thing which most people will never do.