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abh94's avatar

What is the name of the theorem that proves this equation?

The equation is as follows:

a^3—b^3 = 3(b^2) + 3b + 1
ex) 10^3—9^3 = 3(9^2) + 3(9) + 1 = 271

I saw it used on a math video. I am interested in how it is proved.

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