Derivation | Formula | Sum of first n squares or square numbers 1^2 + 2^2 + 3^2 + 4^2 +...n^2

Here we have a simple algebraic derivation of formula to find the sum of first n square numbers.

[lngk]

Amazing. I am recollecting this in just 5 minutes having learnt 36 yrs back. Thanks a lot.

[lezbeehonest]

No one in proof videos seems to be able to explain HOW/WHY they decide to use the equation they derived from. Like, on a test, how am I supposed to know "Oh, this is the squares formula, so I should obviously use this other, CUBED formula to get there" ?

[anupamayashkant]

Mam one doubt, why you have chosen a^3 - b^3 formula to derive this?

[sumeetsuryawanshi]

What a soothing sound 🤩👍 just like mother.

[TheDHemant]

Very short and sweet explanation in a equally sweet voice. Like a cub, all muscles n no fat. To the point. No talks on here and there subjects.

[momonga]

Thank you for showing the derivation and I really like the clarity in your voice.

[ankitadangi]

I have a doubt mam that why you have used the formula a^3-b^3 ..???

[alexlower]

The sum of differences of cubes "works" because nearly everything cancels out except the sum of squares that we're looking for. It makes sense when we remember that the sum of n is an equation involving n^2, so the sum of n^2 is another degree higher, or n^3.

[Robisawolf]

if you want to solve to i^3 use a similar method with a difference of squares n^4 - (n-1)^4

[rebjok]

So then what would be the sum of the sequence; 1^n + 2^n + 3^n + 4^n

[kimcastro]

Great video. Clean, comprehensive, concise, and intelligible.

[reidpattis]

4 years late, but this is my favorite channel now!

[shivamsahu]

This was supposed to be explained by my maths teacher but they just don't do it and directly start with the exercise..
But thank you mam

[sdani]

If I use that formula I am failing in maths

[browniebeautytouch]

When sign is alternative then what formula use ? Pls tell me. It's humble request 🙂

[FFGaming-nfqm]

can't understand, from why the formula of a^3-b^3 came here? why its works?

[roshanjoe]

mam can you make a video and try to derive this intuitively

[sumanpaul]

My first doubt why to use a³-b³? Second question is why suddenly used n³-(n-1)³

I understand used in place of formula but my doubt why n and n-1

[ashmitabhattacharyya]

Awesome video! Its so clear and to-the-point!!

[goriolaganiu]

Can some be ask to prove this formulae for square formulae in exams?