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Binomial Expansion - tutorial 1 | ExamSolutions 

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Комментарии : 327   
@name2865-n2y
@name2865-n2y 3 года назад
ExamSolutions really still be commenting/hearting comments 10 years later, talk about dedication.
@xXKirkSoloXx
@xXKirkSoloXx 7 лет назад
You explained a very daunting and seemingly complicated concept very simply. Thank you muchly. I am also experiencing the growing realisation that my maths teacher is shit.
@dhinesraj565
@dhinesraj565 6 лет назад
Yes indeed !
@aaronlad7697
@aaronlad7697 4 года назад
I my teacher is a beast, taught us this in ks4
@natalia63532
@natalia63532 4 года назад
@@aaronlad7697 I'm still in ks3 and I'm doing this haha
@ckay4665
@ckay4665 2 года назад
@@natalia63532 same
@satanicfriedchicken1656
@satanicfriedchicken1656 8 лет назад
You are the one youtuber i turn off my adblock for so you can profit
@ExamSolutions_Maths
@ExamSolutions_Maths 8 лет назад
+SatanicFriedChicken Thank you
@karnanjeyabalan3032
@karnanjeyabalan3032 7 лет назад
Same here :D
@maxhibbard
@maxhibbard 2 года назад
Got a maths test tomorrow, this really helped to remind me how to do it last minute, and it wasn’t boring aswell. Thanks!
@joeyawesomeness6142
@joeyawesomeness6142 6 лет назад
to be honest if you're doing binomial expansions and you don't know what a positive integer is something has gone horribly wrong haha nice video though
@priscamwango8677
@priscamwango8677 4 года назад
😂😂😂or you ended up in the wrong class
@ashmoholkar3751
@ashmoholkar3751 4 года назад
Joey Awesomeness I feel attacked
@joshbowen6668
@joshbowen6668 4 года назад
A positive integer is a positive whole number, for anyone wondering lol
@name2865-n2y
@name2865-n2y 3 года назад
Literally I was thinking the same thing lmao
@giovanny8389
@giovanny8389 3 года назад
Thank you! :) Still helping students 12 years later...
@michellelinsi853
@michellelinsi853 10 лет назад
You are the reason i'm passing maths!!! Thank you a million times, all the way from South Africa! :)
@patrickstone9378
@patrickstone9378 2 года назад
How you doing
@MrPadzo
@MrPadzo 12 лет назад
I got A*s in gcse maths and additional maths, but I have a horrendous, unenthusiastic, and very dull teacher this year and I got a C in my AS mock, (some c1/c2 stuff), I have made huge improvements already just from your teaching (post-mock). Thanksyou so so so much, keep up the good work!
@jakealcock5905
@jakealcock5905 Год назад
how you doing now, 11 years later? did you takw up maths at University or anything?
@nataliiatomych3303
@nataliiatomych3303 5 лет назад
i'm so grateful teachers like you exist, all my maths teacher does is telling students his life stories and stupid jokes, and instead of explaining things he gives you the answers.((((
@ExamSolutions_Maths
@ExamSolutions_Maths 5 лет назад
I think we are lucky in this day and age to have instant access to RU-vid when we need help with any kind of problem.
@xsthana182x
@xsthana182x 14 лет назад
thank you so much. i don't learn well in the classroom at all, so i've had to try to find ways to teach myself. at the start of the year I was failing maths, now 2 days before the exam I actually feel like I understand it. this is the best way to revise and the best math videos on youtube i've found. thank yooooou!
@robshah9347
@robshah9347 Год назад
It’s been 12 years, curious to see how life panned out after Alevels😅?
@xsthana182x
@xsthana182x Год назад
@@robshah9347 I still failed maths! I taught myself Biology A Level and went to university, became a primary school teacher, left, now I'm doing an apprenticeship in Business Analysis.
@samhowell3427
@samhowell3427 3 года назад
I'm sitting an A levelmaths exam today and am slowly realising how bad of a student I've been the past 2 years... Thank you for helping me not face the consequences for my actions! :)
@hungrydw6098
@hungrydw6098 2 года назад
It’s 2022 and this 13 years ago RU-vid video just saved me for my pure maths exam! I’m in 8grade and my sir has introduced this math chapter very last minute 😭but so so grateful to this channel!💜
@ExamSolutions_Maths
@ExamSolutions_Maths 11 лет назад
write as [2+(x+2x^2)]^4 and use the binomial expansion (a+b)^n where a=2, b=(x+2x^2) and n=4
@norton176
@norton176 14 лет назад
i never understood this when my teacher was teaching me this......but after seeing your video i was like THIS IS EASY....u have my vote, keep making more videos :D
@muazhussain5127
@muazhussain5127 4 года назад
Have my As Maths paper tomorrow, didnt know shit about binomial before this while all my mates said binomial is free marks. Love this video so much
@fizza8058
@fizza8058 10 лет назад
Your videos are amazing!!!!!! they have helped me soooo much during my Alevel maths, I would just like this opportunity to say a big thank you!! hope you continue making these vids and helping people :) much appreciated
@ExamSolutions_Maths
@ExamSolutions_Maths 10 лет назад
Thanks. The intention is to keep making and improving the videos over time. Your support is appreciated.
@mr-bean2306
@mr-bean2306 4 года назад
Where the hell in calculator is the c button?
@Chinbold319
@Chinbold319 Год назад
@@mr-bean2306 above the divide symbol
@StarPlusLove
@StarPlusLove 12 лет назад
Thank you so much honestly I learn more from you than i do from my ALevel Maths Teacher who I have lessons with 5 hours a week!
@Chucky72
@Chucky72 12 лет назад
You made this super easy to understand!! My lecturer took 30 minutes to explain it and seemed super confusing, this is so clear! Thank you!
@misssmith11
@misssmith11 14 лет назад
Wow, you've done in 10 minutes what my maths teacher couldn't do in 3 weeks!!!! THANK YOU xxxxxxxxxx
@neegaa96
@neegaa96 Год назад
3 months of confusing nonsense gone! thanks for the video! it helped alot
@tomwann1
@tomwann1 12 лет назад
coping with A level maths has been so much easier thanks to your vids so much better than my useless teacher, im soo grateful!!!!
@marykhafmonsun7432
@marykhafmonsun7432 10 лет назад
OMG it turned out 2 b so easy! Thank u soooo much I'm passin' C12 tomorrow and I finally understand this thing! I start lovin' maths with your tutorials:)
@ExamSolutions_Maths
@ExamSolutions_Maths 10 лет назад
Good luck. Hope it goes well for you.
@user-nk5qs8km3d
@user-nk5qs8km3d 2 года назад
thank you man straight to the point, just how i like it
@twistedfirestarter13
@twistedfirestarter13 13 лет назад
seriously, thank you so, so much. were it not for yr videos i'd have no chance at all with this.
@louise1021
@louise1021 4 года назад
You are the best. No other videos are able to explain maths to me as well as you.
@ExamSolutions_Maths
@ExamSolutions_Maths 4 года назад
Thanks for your support. Best wishes.
@ExamSolutions_Maths
@ExamSolutions_Maths 14 лет назад
You can use Pascal's triangle but the purpose of this tutorial was to demonstrate the combinations method. Pascals triangle method though is not so good for higher powers as it takes time to build up the triangle before you can start. It is a quick method for small powers though, that I agree with.
@jakealcock5905
@jakealcock5905 Год назад
Thank you so much, this was far better and far simply explained than my teachers did, they really overcomplicated it!
@Chaudharys1
@Chaudharys1 4 года назад
Hes added music to the intro!
@brainnourishment10
@brainnourishment10 3 года назад
Ok
@jamesmorrall3811
@jamesmorrall3811 11 лет назад
Thank you so much! I have been stuck on this for weeks and with my C2 exam coming up; can't thank you enough!
@BrianOkello60
@BrianOkello60 2 года назад
I don't think there's any other simpler explanation for this Thank you
@alyssaa2178
@alyssaa2178 9 лет назад
Thank you so much for this video! I have a trig final tomorrow and this really helped out
@aishahb8336
@aishahb8336 11 лет назад
Hi I've got my Additional mathematics exam in a week and I'm soooo glad I've watched this! Thank you! :-)
@ExamSolutions_Maths
@ExamSolutions_Maths 11 лет назад
A good idea but one that will take time to implement over 2000+ videos. May do this during the summer.
@Muckydoggy1
@Muckydoggy1 13 лет назад
I don't think I would have got an A in maths without you. Thank You.
@bestoflions
@bestoflions 13 лет назад
i thank you from with all my heart you have made life much easier for many people. And again Thank You very much.
@BenRogersLive
@BenRogersLive 3 года назад
Bruh this helps so much, I didn't understand this at all and now I'm do :)
@MrMrgamerwatch
@MrMrgamerwatch 11 лет назад
Thanks man, I use your videos quite frequently and they always bring me to a solution, it's like having a tutor. Thank you
@ExamSolutions_Maths
@ExamSolutions_Maths 12 лет назад
@MrPadzo Good to hear that you are making improvements. Hope it continues that way.
@jonathanmutema134
@jonathanmutema134 9 лет назад
you guys know what you are doing great staff right there
@ExamSolutions_Maths
@ExamSolutions_Maths 9 лет назад
Jonathan mutema It's one guy.
@frostyheinz
@frostyheinz 12 лет назад
Thankyou! I haven't understood this all year until now..
@FirestarterAJ12
@FirestarterAJ12 14 лет назад
Another happy customer here too. Thanks man
@goonerdan90
@goonerdan90 11 лет назад
got my C2 exam tomorrow and this has just saved me, thank you!
@naledijani1322
@naledijani1322 3 года назад
Ughhh thank you so much!!! You made me understand something I thought was so complex for my test tomorrow :)
@ExamSolutions_Maths
@ExamSolutions_Maths 13 лет назад
@pureexpose It's up to you but nCr for larger powers of n is quicker and easier. I use nCr all the time though.
@ExamSolutions_Maths
@ExamSolutions_Maths 13 лет назад
@faryalkk A question will tell you where to stop. Say, expand up to the term in x^3 or write down the first three terms. Something along those lines. Hope that helps.
@elizabethhenzell4930
@elizabethhenzell4930 8 лет назад
A great help - I sometimes confuse that say 2x to power zero = 1 because when we differentiate 2x to the power of 1 we get 1 x 2 and the zero becomes a 1 = 1x2 = 2. (I think I have got the two examples correct)
@ExamSolutions_Maths
@ExamSolutions_Maths 12 лет назад
Cool. It feels good to have saved someone. All the best,
@tababomz
@tababomz 12 лет назад
dude u basically saved my life !
@ExamSolutions_Maths
@ExamSolutions_Maths 14 лет назад
@MicNarcolepsy It is an identical sign. You should use it over an equals sign when you are not solving an equation.
@topslayer2
@topslayer2 12 лет назад
WOW. you're an amazing person doing all this for free. ahh, but the unfortunate thing is most of us do not have jobs as we're a-level students , otherwise (well me anyway) we'd be donating some money. Thank you very much for the work you have produced for us and im sure on behalf of everyone else who uses your site we thank you very^2 much :) Without you i'd would of been kciked out of maths a long long time ago :)
@777ChoiPanda
@777ChoiPanda 9 лет назад
This video has made my day! I was trying to figure this thing out for hours. Man, you r my saviour!
@sachintiwari3328
@sachintiwari3328 4 года назад
this is called satisfaction.
@ikwuepeter4135
@ikwuepeter4135 5 лет назад
I love this,, thanks
@ExamSolutions_Maths
@ExamSolutions_Maths 5 лет назад
Thank you for watching.
@gellhorn95
@gellhorn95 11 лет назад
you sir, are a scholar and a gent.
@ExamSolutions_Maths
@ExamSolutions_Maths 14 лет назад
@LikeItDeep Thanks for your comments on this and other videos. I hope your revision is going well.
@ExamSolutions_Maths
@ExamSolutions_Maths 13 лет назад
@Kekuya write as (1+5xx)^-4 then use the binomial expansion formula (See my tutorial on the website)
@andrejspapsujevics
@andrejspapsujevics Год назад
thx so much I was so confused on this topic this helped a lot
@ExamSolutions_Maths
@ExamSolutions_Maths 15 лет назад
Thanks, pleased to be able to help.
@ExamSolutions_Maths
@ExamSolutions_Maths 14 лет назад
Is that a good or a bad thing?
@lukesaville6992
@lukesaville6992 9 лет назад
cracking video with a blistering soundtrack
@Dizzeesniipez
@Dizzeesniipez 11 лет назад
your website is great but sometimes i get frustrated and get lost on it , do you think you could put a annotation or link in description for the next video and previous video? thanks great tutorial
@elizabethhenzell4930
@elizabethhenzell4930 8 лет назад
Update from last comment: A great help - I sometimes confuse that say 2x to power zero = 1 because when we differentiate 2x to the power of 1 we get 1 x 2 and the zero becomes 0 to power 1 = 1 so we are left with 1 x 2 = 2 and the x ".disappears." (I think I have done the two examples correctly)
@Jason-qt2ch
@Jason-qt2ch 6 месяцев назад
thanks a lot i now understand it
@Captain_Rhodes
@Captain_Rhodes 11 лет назад
starting the formula with b^0 makes it so much easier to understand. the fucking textbooks always assume I knew these things and baffle me. Thanks for explaining it properly!
@ExamSolutions_Maths
@ExamSolutions_Maths 11 лет назад
No. If you have a scientific calculator then you will generally see it as nCr
@Y5FK
@Y5FK 14 лет назад
Are we given the ncr formula in the exam ? Thanks for the video
@asakapakuulol
@asakapakuulol 11 лет назад
tnx dude it help me in my assignment in grade 8 :) thank you so much
@ExamSolutions_Maths
@ExamSolutions_Maths 14 лет назад
Will do and thanks
@Kishaarrrrrrr
@Kishaarrrrrrr Год назад
Wow thank you so much
@adnansamee9865
@adnansamee9865 9 лет назад
you are waaay better than my ad maths teacher :-)
@stuartlittle7307
@stuartlittle7307 6 лет назад
Thank you !!you explain this very well than my teacher.😢😢🙌🙌🙌🙌
@ExamSolutions_Maths
@ExamSolutions_Maths 6 лет назад
I am glad it helped. Thank you.
@rpdhalwani
@rpdhalwani 15 лет назад
Excellent .. sir... Thank you so much...
@jeramiahcollins2895
@jeramiahcollins2895 3 года назад
Finally, a video that helped me understand this (I dropped a like)!!!
@ExamSolutions_Maths
@ExamSolutions_Maths 3 года назад
Thank you!
@ateeq444
@ateeq444 11 лет назад
You Sir..Are a legend!
@anaslashko
@anaslashko 13 лет назад
all what i wantedto say is.. I LOVE YOUUU !! you helped me alott daaamn
@zxspectrum16KB
@zxspectrum16KB Год назад
Would you please make a separate section for as maths videos?
@mohammadyahyachhapra1363
@mohammadyahyachhapra1363 10 лет назад
Thank you very much, your video simplified the concept
@name2865-n2y
@name2865-n2y 3 года назад
I just don't really think it's as simple as teachers say it is. I mean, I totally understand it, but it's honestly about the same working as just expanding. Reason being is you don't just have to manually expand each bracket individually, let's take the example in the video, you could just work out (3+2x) squared, then just square it again, sure, it isn't something you can ALWAYS use, e.g if you have 2 fractions and both have powers, or if it's to the power of an odd number, but you could still just square your equation, and keep doing that until you can't do it anymore, then just write out what you got, then manually expand what you have left over. Long story short: These methods are actually practically the same length unless you either have multiple bracketed equations which both have powers, or if the powers are odd. Binomial expansion may be a LITTLE shorter, but in the long term it's not that much more effective, basically use binomial expansion if you're not great at expanding big numbers. (yeah that wasn't much shorter, was it, oh well, hope you get it anyway if you're reading this lol)
@name2865-n2y
@name2865-n2y 3 года назад
Also don't get me wrong, this video completely helped me understand binomial expansion, it was really helpful, but after understanding it I'm just not sure how much benefit there is to it.
@ExamSolutions_Maths
@ExamSolutions_Maths 11 лет назад
It is a function called nCr seen on most scientific calculators. Check out the tutorials on my website for this.
@steveg12345678910
@steveg12345678910 12 лет назад
thanks for the video, it was very informative, could i ask if we will be given the formula in the exam, or should i memorise it?
@devinatkin
@devinatkin 12 лет назад
THANK YOU SO MUCH. I was away and this has really helped me catch up
@madlife7274
@madlife7274 7 лет назад
thanks.... helped me on my engineering class.. :))
@ExamSolutions_Maths
@ExamSolutions_Maths 7 лет назад
No problem - I am pleased to hear it helped.
@llllllllllllllllllllIIIIII
@llllllllllllllllllllIIIIII Год назад
Thanks you so much this really helped a lot✨✨✨
@ExamSolutions_Maths
@ExamSolutions_Maths 12 лет назад
No probs. Pleased to be of service.
@abdillahiiza7827
@abdillahiiza7827 9 лет назад
Thanks a lot, this video made it seem very simple!!
@ExamSolutions_Maths
@ExamSolutions_Maths 9 лет назад
Abdillahi Iza Cheers
@ExamSolutions_Maths
@ExamSolutions_Maths 13 лет назад
@simplyavarice94 Thank you for your support - hope you continue to find the rest of the site just as useful
@ExamSolutions_Maths
@ExamSolutions_Maths 12 лет назад
Go on to my website check out the syllabus you are on or if not just click on Pure maths and look under Binomial expansion.
@ExamSolutions_Maths
@ExamSolutions_Maths 14 лет назад
Will do
@mokalokasoka5163
@mokalokasoka5163 4 года назад
Thanks for helping us ❤❤❤❤
@ExamSolutions_Maths
@ExamSolutions_Maths 11 лет назад
That's good and thanks.
@ExamSolutions_Maths
@ExamSolutions_Maths 15 лет назад
Glad I could help
@ExamSolutions_Maths
@ExamSolutions_Maths 13 лет назад
@anaslashko Happy to do so. Thanks
@danishraja11191
@danishraja11191 5 лет назад
Does it matter if the x is a or b?
@ExamSolutions_Maths
@ExamSolutions_Maths 5 лет назад
No.
@812luke
@812luke 15 лет назад
Thank you so much. abssolute legend. i kind of wish you were my teacher tbh
@summerlamb7890
@summerlamb7890 10 лет назад
God bless and thank you Professor this is the best video
@ExamSolutions_Maths
@ExamSolutions_Maths 10 лет назад
Thank you
@aceplayys7847
@aceplayys7847 6 лет назад
Is it okay to watch these videos if am doing the new spec for a levels my exam board is edexcel btw and my teacher isn't the best so was hoping if I could find a channel like this to learn all the content for a level maths. Apologies for the long question 😅
@ExamSolutions_Maths
@ExamSolutions_Maths 6 лет назад
Yes it is. I generally cover all the topics now for the A-Level Pure Maths, Mechanics and Statistics. Further maths requires a few more video tutorials to complete though. Good luck
@therealjordiano
@therealjordiano 13 лет назад
Once you write out the first 3 terms and put in '...' are you mean to continue writing and figuring out the terms? Or will it specify in an exam question :|
@ExamSolutions_Maths
@ExamSolutions_Maths 12 лет назад
Good
@ExamSolutions_Maths
@ExamSolutions_Maths 11 лет назад
Good luck
@ExamSolutions_Maths
@ExamSolutions_Maths 14 лет назад
Pleasure - Hope you find more of my vids helpful if you get stuck.
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