What is this formula for in the mathematic point of view?

Question

I have derived a formula and I wonder what formula is similar to this one in a mathematical point of view?

 

F = (X² - Y²)/ (X - Y )²

 

Is there any formula that looks like this one and is used to calculate something?

 

Thanks

Answer 1

What you have is really not a formula, but just an algebraic expression that has been given the name F.

 

Its numerator is the difference of squares, and if you factor that, then F simplifies to (x-y()x+y) divided by the product (x-y)(x-y).  A final simplification yields F = (x-y)/(x+y).

 

An example of 'legitimate' formulas are formulas for areas of geometric figures, or conversion from Fahrenheit to Celsius temperatures, and so forth.