How to Prove: Bezout's Identity

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This video shows how to prove Bezout's Identity.
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That was so elegant, short, and intuitive compared to the other popular videos on youtube. Criminally Underrated 😊 ! Keep making such number theory videos and other such math videos!

bobmarley
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Short, elegant and crystall clear. Best proof!

markborz
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Great and neat proof! I learned a lot, specially regarding the well-ordering principle!

leonardopaes
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i like how this guy writes everything in logical statements

Anonymous_MC
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There we go, that’s fantastic thank you.

krumpy
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I couldn't understand Theorem 1.6 from Apostol's book, I believe this is a lot more clear. Not sure why Apostol chose such a convoluted way of proving the theorem, only way I could think of is that he assumed reader/student doesn't know two assisting theorems on the video that would help advance further more efficiently.

NurbolBekbossin
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you earned a sub for this amazing proof

Naoseinaosei
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bookmark this, hope to figure it out. thank you brother

lolo-dgum
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i have no clue what this is or why its on my recommended but 👍

qxty
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isn't it that when gcd(a, b)|(ax+by) then gcd(a, b) = ax + by already because of well ordering principle and the gcd itself let's say when gcd(4, 6) = 2 then we have 2|ax+by hence ax + by must be equal to 2.

Linhkinhbrods