Factoring a difference of cubes

This is a short, animated visual proof of showing how to factor a difference of two cubes using two 3 dimensional cubes (removing one from inside another). #manim #math #mathvideo #factor #cubes #mathshorts #geometry #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #algebra #pww​​ ​ #proof​ #areas #mathematics​​ #mtbos

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Here is a related video about factoring the sum of two squares:

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[georgebeckons]

This channel makes math so much more interesting to learn.

[CaptainCrud]

This is how they solved the cubic. I think veritasium made a video on it. It has "epic math duel" in the thumbnail.

[DNDN]

I wish all the schools around the world tought math and geometry like this!

[landofbol]

I just was the sole person to remember this in algebra 2 after a couple units, we now on rational functions as our last unit

[homerodysseus]

You're doing wonderful work by showing visual proofs of intermediate and advanced ideas through Geometry. This is why I'm subscribed!

[aintgonnatakeit]

This should be the standard way of teaching differences, cubes and squares

[thestonemason]

as soon as that last part was out into the equation i knew it looked familiar

[bradleymartinez]

Makes sense!! A cube of side length ‘a’ minus another cube of side length ‘b’ is equal to the height multiplied by the area.

[danolantern]

I LITERALLY JUST LEARNED THIS IN MATH CLASS TODAY

[aboobakarmohammed]

Omg 😮
I didn't see that coming
This is when math finally starts to make sense❤

[Beasitor]

Finally, i know how to factor X^3-64, thank you sir, it really help how to factor algebraic equations.

[pilotpat]

of course youtube recommends me this after my exams

[hayate]

I've been trying to memorize this formula for days and this video...

[kahe]

Damn
I wish this channel existed when I was in school

[darioprats]

Wish this kind of channel was around when I was in school. Thank you for being around now.

[olbluelips]

Wow that’s a really nice pattern, thanks for uploading

[satyamyadav]

I have taught this to many children but never thought it like this...
Thanks for teaching me a new method.
I'll try to adjust it in 2D and teach it to children.

[SristiBudbak]

I had my math teacher defeated after this, all thanks to you!

[jakeb]

the formula can also be written as (a - b)((a + b)^2 - ab) but i don't know that that's a more helpful form for it to be in

[Deibler]

Literally explained this factoring mystery in a way I won't ever forget