We should add zero to be able to collect the terms and separate fractions I found in the internet how to solve Rubic's cube by LBL method which is the easiest one Can we find any mathematic problems involving Rubic's cube ?
I watched a professor from MIT show this proof but he botched it totally so I could not understand him he did not make a mistake but he did not place emphasis on adding and subtracting "something" that is the why of it. Of course this proof we take for granted is a stroke of genius I am wondering how Newton proved this that is how his proof was unsatisfactory and Yes will check your web site like to see a proof of rubrics cube!
One thing I get confused is Newton's f prime notation drops the dx. But Liebnez always keeps the dx. Then when we try to do integral we need to write dx back to f prime. Does anybody know why that is? And