Proof: How to Prove the Sum of Two Cubes a^3 + b^3 = (a+b)(a^2-ab+b^2)

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The problem: How/Why does a^3 + b^3 = (a+b)(a^2-ab+b^2)

The solution: by simply adding zero twice and then finding two terms that add to zero, we can complete the proof.

[bojarajan]

You helped me to remember this formula and proof.. Thanks a lot... 😃😃😃

[carlosalbertomoralesortega]

Amazing, I was really confused about how you can go from one point to the another, great video :)

[eishaansiingh]

Thanks so much this helped me lots ....as I was very close to do this myself...but then i got to kno my mistake from this vid..great work

[gabxan]

(1)^3 + (2)^3 = 1+8=9 vs (1+2) ((1^2)-(1*2)+(2^2)) = (3) ( 1 - 2 + 4)= 3 * 3 = 9, right?

[yashnegi]

Are you Salman Khan (CEO of Khan academy)'s copy?

[galaxycrystalgamer]

When are you supposed to learn this in school?

[yaakovabdelhak]

Here is Fermat's original proof no joke. A little algebra, a little geometry and a bunch of logic. It is truly beautiful!

[RajeshTiwari-drti]

Man you sound like you need a sound sleep

[satyaarvindsingh]

very cool and easy and also attractive.