Sqares, Mathematics

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Recently I had an insight regarding the difference between squares of sequential whole numbers and the sum of those two whole numbers. I quickly realized the following:

x + (x+1) = ((x+1)2 - x2)

I have not come across this relationship before and am wondering when and by whom it was first noted and whether it has any utility in math or physics.
Dennis J. Plews
Sarasota Fl 34231

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