Usually we prove results related to powers of sums algebraically. How can you illustrate geometrically powers of sums basically for powers 1,2,3 ?

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Sum of cubesThis visual proof by Georg Schrage

you can find more elegant answers,👇

Proofs without words by Roger Nelsen and https://www.youtube.com/@MathVisualProofs

Sum of integersThis visual proof by Ian Richards

Sum of squaresThis visual proof by Martin Gardner