Geometric Proof of the Difference of Squares: a?? ??? b??

The difference of two squares is subtracting a square number from another squared number. And these numbers don’t have be perfect squares. Thankfully, difference of squares can be factored easily.

a² — b² is ubiquitous in mathematics, and it is also supercalifragilisticexpialidocious for algebra.

If we speak algebraically:(a + b)•(a — b) = a² + ba — ab -b²
= a² — b²

But there is a different and beautiful way to represent a² — b². We can create multiple representations of this single concept, which is the beauty of mathematics. For instance, geometric objects are powerful in visualizing algebraic formulas and equations.

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