Hello there, for a while I found a weird way to calculate the difference of squares. I included 2 pics with this post, the one with all the math work is the weird way I found. Today I refined it to the formula that is in the other picture. I haven't found anything online that points this out as a phenomenon, I'm not claiming ownership. But if this is the first time this has been uncovered then awesome. I am mainly trying to find a proof for this, thank you.