Visual explanation of the sum of cubes formula!

Let's use geometry to derive the formulas for the difference and sum of cubes! #math #maths #mathematics #shorts

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[Inspirator_AG]

A good explanation of a formula is a visual explanation.

[davidpilotti]

The sum of cubes formula is one of the important algebraic identity. It is represented by a3 + b3 and is read as a cube plus b cube. The sum of cubes (a3 + b3) formula is expressed as a3 + b3 = (a + b) (a2 - ab + b2).

[frezywizard]

I like the visual proof videos and the normal ones too

[mischievous_luffy]

Deriving formulae using geometry is fun untill you need to visit the 4th dimension to calculate equations with degree 4

[animezoneamv]

That is just a masterpiece. Hats off :)

[mortalop]

Why they didn't teach like this in school

[ondrejcastka]

That’s cool, now show it for x^4 + y^4

[samsungjamuna]

Make visual proof for menelaus'theorem

[timothyvenable]

So I haven’t taken every math class… but I feel like you don’t need the sun or difference of cubes formula if you can just add the volumes, or subtract the volumes…

[daneta.]

I think I prefer the algebraic method byt this is super useful for a ✨graphical✨ approach

[aaaaaattttttt]

LoL your voice here is drastically changed and you seem freakin excited 😂 was a nice surprise

[alfonsoviquez]

thanks, I didnt belived in cubes until now

[huzefa]

😆
You know whats funny
I had my exam today about this and i viewed this video after coming from school 😅😅

[AlienO]

At first i thought he's going to prove that the smaller cube is actually bigger

[danntbeltran]

SOAP!!! Same, Opposite, Always Positive.

[shifanathpkm]

Woah woah wait, where did that z comes from? Like from nowhere all of the sudden?😭

[timohiti]

when we substitute y=-z, then there is a cube with volume -z³. How can a volume be negative? (not serious question)

Serious question: is there also a possibility to show the sum visually? I know the easy algebraic solution but I would like to see how it looks geometrically

[Drestanto]

Visual proof but uses an algebra in the middle

[methan_]

bro skipped school and didnt learn one of the most basic identities ever
a^3 + b^3 = (a-b)(a^2+ab+b^2)
a^3 - b^3 = (a+b)(a^2-ab+b^2)

[Ayaaaaa.]

bruh I hate math we are basically doing this at school why did this pop up