An Algebraic Areas Identity (visual proof)

This is a short, animated visual proof of the fact that (a+b)^2 + (a-b)^2 is twice a^2+b^2. #math​ #numbertheory #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #sums #algebra #areas #mathematics #squares #algebraicidentity #mathshorts​ #mathvideo​

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[PhilBoswell]

Lovely, although it was a bit distracting that the bases of the figures weren't all on the same level, so at 1:35 it looks like the right-most larger square is bigger than its counterparts rather than the same size 🤔

[jakobthomsen]

Neat, I wasn't aware of this identity!