The Binomial Theorem : Fractional Powers : Expanding (1-2x)^1/3

The Binomial Theorem : How to expand brackets with fractional powers easily using the general binomial expansion.

[powell]

I've been after a fractional hint for ages!!! Not only did you do this for me but broke it down beautifully thank you so much

[Positivity_over_negativity]

thank you so much . You made it very easy to understand for me .

[Akhoon_faheem]

I like the way you hold ur pen, i thought i was only one in this cruel world

[kratos]

Sir My gratitude towards you is genuine 😊

[googlem]

Very clear and concise. keep up the brilliant videos 👍

[shauweiwong]

thank you so much, you save my final exam at tmrw

[abelincolnparth]

I had no idea that you could do a binomial expansion of a root like this until I encountered a physics problem of determining the electric field from a charged disc a distance x along the center of the axis. I am glad you covered this topic but I don't find it in my standard calculus texts. What (elementary as possible) book do you recommend that covers this, as I still don't understand the limits.

[Brightengale-rrqv]

Thank you so much, Knewton doesn't explain this as well as you

[MinsaJaved-mv]

Thanks to you sir your video is very helpful for me

[화이투벤]

wow very fantastic method thank you for your easy explanation

[RunBar-irgd]

thank you for this vid lil bro! hope ur cuts better.

[mdanisurrahman]

Plz solve this
btain the binomial expansion of (2-x)(1+1/2x)^8 in ascending powers of x as far as the term in x^3. use your result to estimate the value of 1.9*(1.05)^8.

[ZambianBigSean]

Great video, what do i do when I'm told to Expand a similar binomial and also state the set

of values of 𝑥 for which each expansion is valid.

Anyone else can help me with this...

[e.t._]

How would you solve if you wanted it in descending powers instead of ascending powers

[TjTommytj]

How do you know the limits ? How did you work that out part out ?

[JagdishKumar-yjqd]

Sir can u answer this
Que- coefficients of 2nd, 3rd and the 4thterms in the expansion of (1 + x)n are in A.P., then value of n is?
I think answer is 2 or 7
but n=2 not possible. Can u explain these answer how 2 is not possible but 7 is.

[bjnz]

Can you do it of the constant in the brackets is not 1?

[tusharpatel]

(1+3)^1/2=? Sir using binomial theoram

[zedspikeful]

I have a question sir.. howd you now that the example equation have 4 terms?

[rajan]

Watching after confused in solving irodov problem😊