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.
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
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!
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.((((
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 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.
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! :)
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!💜
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
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
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:)
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.
@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.
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)
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 :)
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
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)
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!
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)
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.
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 😅
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
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 :|
