23 - The Binomial Theorem & Binomial Expansion - Part 1

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  • เผยแพร่เมื่อ 2 ธ.ค. 2024

ความคิดเห็น • 381

  • @lauraash3517
    @lauraash3517 3 ปีที่แล้ว +130

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  • @brazhell
    @brazhell ปีที่แล้ว +45

    One tireless teacher who knows how to keep interesting every topic he is involved with. Thank you.

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    @aqsababbar7329 3 ปีที่แล้ว +76

    The best teacher I have found online till now!

  • @justrolly251
    @justrolly251 4 ปีที่แล้ว +44

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  • @jeffreychavey4161
    @jeffreychavey4161 4 ปีที่แล้ว +18

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  • @Lil-lc2di
    @Lil-lc2di 3 ปีที่แล้ว +36

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    • @simpleman283
      @simpleman283 2 ปีที่แล้ว +2

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      Stop being afraid of what others will think of U
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      Give him the big G.

  • @kitsurubami
    @kitsurubami 2 ปีที่แล้ว +8

    Thank you for being an excellent teacher! I just came here after watching a video from a similar sized channel on the same subject. In that video, the teacher wrote many factually incorrect equations on the whiteboard and then expressed frustration when his students didn't understand. So again, thank you for being awesome. Not everyone is.

  • @RoscoesRiffs
    @RoscoesRiffs 2 ปีที่แล้ว +26

    His website is better than the classroom. At 70, I subscribed for my first three years one month ago, and I'm doing two or three lessons per day. It's not just math. He offers a 37-lesson course on using the TI-84 Scientific calculator -- as well as physics, chemistry, engineering and more. THIS membership is a bargain!

    • @_BiologyMatters_
      @_BiologyMatters_ ปีที่แล้ว +1

      If you could share your experiences, what would you say are the benefits of a membership compared to just watching Jason's videos here on TH-cam?
      He absolutely does deserve the support, though.

    • @NeinaAbdulMajeed
      @NeinaAbdulMajeed ปีที่แล้ว

      Hello

    • @NeinaAbdulMajeed
      @NeinaAbdulMajeed ปีที่แล้ว +1

      How are u doing today

    • @RoscoesRiffs
      @RoscoesRiffs ปีที่แล้ว +1

      @@NeinaAbdulMajeed Calculus derivatives with trig functions and the chain rule. It's addictive. I do this. My wife does crossword puzzles. 😁

  • @letsthinkit
    @letsthinkit 3 ปีที่แล้ว +5

    I'm in grade 10 - and we were taught (a + b)^2 - I asked my teacher a question before learning the binomial theorem - "Ms. can you tell me what (a + b)^n or any large power should be" - she said "start learning the binomial theorem". And now I'm in love with this beautiful and actually pretty easy theorem.

    • @simpleman283
      @simpleman283 2 ปีที่แล้ว +1

      I'm glad to hear your teachers help you.
      When I went to school, they did not care about us.
      I missed out, back in the day.
      This man & others on youtube offer us old dogs a chance once denied.
      Ima think about it...........Happy New Year

  • @joelm.a.1063
    @joelm.a.1063 3 ปีที่แล้ว +5

    Thanks man!!!
    You are the only one professor that make me understand these theorems about sequences
    You are great!!!!

  • @youcannotspeaktomeanyhow
    @youcannotspeaktomeanyhow 3 ปีที่แล้ว +92

    You’re such a good teacher. You explain so well😭

    • @unkown9563
      @unkown9563 3 ปีที่แล้ว +4

      Why U crying

    • @lkern6238
      @lkern6238 2 ปีที่แล้ว +12

      @@unkown9563 It's tears of gratitude...All the years of struggling, always in the dark with math; then one good teacher comes and turns the light on...

    • @kel1404
      @kel1404 2 ปีที่แล้ว +1

      You don’t have to do this to understand maths, these are part or the backbone of additional maths

    • @endone3661
      @endone3661 ปีที่แล้ว

      @@lkern6238 so... hmm... I think.. this kind of scenario leads to this situation where a thing that is hard to find or get was suddenly comes to you and you overjoyed your brain cells actually feels a downward relief from over exerting yourself to find the hardest thing to finding it in front of you which stops you from overexerting very fast and so your brain, muscles, etc., collapse and feels an indifferent feeling and so leads you to comment here "You're such a good teacher. You explain so well 😭" which is true 🤩 have a good day

    • @endone3661
      @endone3661 ปีที่แล้ว

      @@kel1404 no one cares

  • @NormanDigine-rj2ms
    @NormanDigine-rj2ms ปีที่แล้ว +2

    Best online teacher I've ever seen, thank you very much for the explanations. The explanations are very clear and understandable.

  • @pematashi8014
    @pematashi8014 3 ปีที่แล้ว +5

    Please keep making these educational videos, very helpful and teaches us in a simple and an understandable way.

  • @craigshub421
    @craigshub421 2 หลายเดือนก่อน +1

    I like this guy, very methodical in his steps, and takes it step by step. Awesome teaching.

  • @wakefieldyorkshire
    @wakefieldyorkshire 3 ปีที่แล้ว +6

    You should be teaching teachers your skills. You are amazing.

  • @EsterNgololombe
    @EsterNgololombe 11 หลายเดือนก่อน +1

    You're the best teacher I have met before 🐐

  • @evancekandodo-mw8kq
    @evancekandodo-mw8kq 12 วันที่ผ่านมา +1

    all the way from Malawi
    honestly am now liking maths which was a huge problem to me.
    many thanks to you sir!!

  • @estherkatentazimba4322
    @estherkatentazimba4322 3 ปีที่แล้ว +8

    I am in medical school and can atleast count on you...I swear you are the best teacher and the reason why my country with a few medical doctors is going to be getting a new medical doctor soon

  • @amb.charleynt6825
    @amb.charleynt6825 3 ปีที่แล้ว +7

    I enjoyed and understood the class so much.
    thanks

  • @OchelebeKenneth
    @OchelebeKenneth 3 หลายเดือนก่อน +1

    Best teacher in TH-cam ever that make me understand well
    Thank you sir

  • @abdullahswaleh
    @abdullahswaleh 3 ปีที่แล้ว +10

    Honestly, in 2008/2009 my teacher didn't explain this theory to me as clear as you've done... what a great teacher you're 👏❤

  • @harraz7632
    @harraz7632 3 ปีที่แล้ว +3

    I don't know what summation is, but watching this video helps me to understand two things! Thanks!

  • @naseerakhtar7706
    @naseerakhtar7706 3 ปีที่แล้ว +4

    I understood the best . I solved all sums . Thnx for such a nice and to the point explanation . I have no proper words to express my appreciation.

    • @wilsonmwamba91
      @wilsonmwamba91 8 หลายเดือนก่อน

      Search , prime newton.
      Is also a good teacher

  • @cken1774
    @cken1774 9 หลายเดือนก่อน

    found you as the last minute refresher on my way into an exam, thanks, this is the best explanation ive seen

  • @christopheromoya535
    @christopheromoya535 ปีที่แล้ว +2

    I don't know how to appreciate you efforts...only God knows..thanks for changing world teacher

  • @GasMask-v2k
    @GasMask-v2k 3 หลายเดือนก่อน +1

    Thank you sir, my first day of calculus classes in collage and this video helped me allot with binomials.

  • @TomilobaAdegalu
    @TomilobaAdegalu ปีที่แล้ว +3

    This is the best and easiest way i understood this topic, thank you Sir!
    Please make a video on binomial expansion with negative power [(a+b)^-n]

  • @michaelasantedankwah8530
    @michaelasantedankwah8530 2 ปีที่แล้ว +1

    You are the greatest teacher in the world

  • @muhammedhabib7345
    @muhammedhabib7345 2 ปีที่แล้ว +7

    May God bless you for sharing your knowledge with us

  • @majorynambeye3943
    @majorynambeye3943 2 ปีที่แล้ว +5

    Your explanation is wonderful. I really enjoy your lessons.

  • @mavahermanus1992
    @mavahermanus1992 2 ปีที่แล้ว +4

    Thanks man you are the only professor that make me understand. you explain very well

    • @MyOneFiftiethOfADollar
      @MyOneFiftiethOfADollar 9 หลายเดือนก่อน

      If he is the "only" professor that makes you understand, then consider reading math books.
      Aren't you slightly embarrassed to admit only a single person on the planet is capable of helping you understand math?

  • @hidbulbzrus
    @hidbulbzrus 2 หลายเดือนก่อน +1

    Great explanation... gets me started on understanding how this can be explained with proofs in real analysis.

  • @maignanmclopez345
    @maignanmclopez345 8 หลายเดือนก่อน

    Guy is so good at explaining , I had less than 1hour to learn this for my final, I speed it up 1.75x and I still was able to understand everything. Thank your Sir

  • @RoscoesRiffs
    @RoscoesRiffs 2 ปีที่แล้ว +7

    PERFECT! The textbooks I have for Algebra II treat this subect as if everybody already knows how to do it, and I was lost immediately. Thank you so much. I'm going to work these problems a few times and then move to your next class. Liked. Subscribed. 😎

  • @shannonmcdonald7584
    @shannonmcdonald7584 หลายเดือนก่อน

    I watched this last winter while learning A1. No way. Just watched it again and immediately wrote out (a+b)⁷ without a single mistake.
    Very concise lesson. Very well done.

  • @fazzynone1
    @fazzynone1 3 ปีที่แล้ว +10

    All the other videos I watched are unclear, but I'm really grateful I ran into this video. You sir explain it so well, nicely done :)

  • @zalelaz143offical5
    @zalelaz143offical5 2 ปีที่แล้ว +2

    thank you 100% you are the best teacher in youtube i follow before ❤

  • @strictmec4139
    @strictmec4139 ปีที่แล้ว +2

    New sub here, coz damn tomorrow's statistics paper will see me hard coz of this video. Thank u. 🗣️Viva la revolution!!!!

  • @Usman_889
    @Usman_889 10 หลายเดือนก่อน +1

    The best ever online teacher with full understanding of how to teach a sub or topic to a person r students of even the age of above 60😅

  • @JohnLumbama
    @JohnLumbama 27 วันที่ผ่านมา +1

    well and easy explaination to understand thank you math and science

  • @abidemimoses3865
    @abidemimoses3865 2 ปีที่แล้ว +1

    You teach simple and easy ways to solve problems in mathematics, very good

  • @painlzzz4026
    @painlzzz4026 3 ปีที่แล้ว +2

    Man you so .tmrw is my exam and I already watch 3 video but your explanation was perfect and easily understandable from the basic

  • @skhulilezwane2609
    @skhulilezwane2609 3 ปีที่แล้ว +1

    WELL EXPLAINED SIR........I NOW UNDERSTAND BINOMIAL THEORAMS EVEN MUCH BETTER ....THANK YOU

  • @Shadow_Microwaive
    @Shadow_Microwaive 2 ปีที่แล้ว +1

    12:24
    way one for 5!/3! is good for people who are struggling with this lesson

  • @xiaowenchen2760
    @xiaowenchen2760 2 ปีที่แล้ว +2

    The explanation of math is concise.

  • @lwisamutale9239
    @lwisamutale9239 2 ปีที่แล้ว +3

    Sometimes attending all the classes is just a share waist of time when you are not understanding what the lecture is talking about 😒
    But your videos always makes it easy for me to understand 😜
    Thank you so much 🙏

  • @samiyatahersumaiya1070
    @samiyatahersumaiya1070 2 ปีที่แล้ว +3

    You're the best teacher ever😭😭

  • @Coolbyrd1
    @Coolbyrd1 2 ปีที่แล้ว +4

    This was a very helpful explanation. Thank you!

  • @elc3can
    @elc3can 2 ปีที่แล้ว +3

    Tank You teacher for your classes. I love them.

  • @筝-h7c
    @筝-h7c 3 ปีที่แล้ว +4

    I sincerely appreciate your videos Sir, it’s just tooo useful¡

  • @richmondbaada3596
    @richmondbaada3596 2 ปีที่แล้ว +3

    Good teacher you taught very well

  • @asamoahampem6285
    @asamoahampem6285 2 ปีที่แล้ว +2

    Wonders and miracles, I really really thank you

  • @SalisuAbdulhamid-ln7yu
    @SalisuAbdulhamid-ln7yu 2 หลายเดือนก่อน +1

    Thanks sir u will be richer than elon musk ❤❤❤ god will continue to bless u
    I get first class becuz of u🎉🎉🎉

  • @KangDut-p8i
    @KangDut-p8i 3 หลายเดือนก่อน

    Angelo Anei, from South Sudan. Math Tutor, you Nailed it.

  • @israelkur2018
    @israelkur2018 2 ปีที่แล้ว +3

    Very very interesting thanks for this amazing lesson.
    Well done

  • @oluIsaac7
    @oluIsaac7 11 หลายเดือนก่อน

    God bless this teacher, he is so clear and direct

  • @gardenmenuuu
    @gardenmenuuu 3 ปีที่แล้ว +5

    Sir I am aspiring to be an aeronautical engineer since my childhood.I am in high school right now , can you give me some help on what actually do I need to study at university and some tips you wish you knew before.Btw your videos are really awesome.Waiting 4 ur response

  • @basilmasvikeni9931
    @basilmasvikeni9931 2 ปีที่แล้ว +2

    Your explanation is so wonderful

  • @agnesbaidoo8911
    @agnesbaidoo8911 3 ปีที่แล้ว +13

    This is why I WONNA learn abroad 🍾✨easy tutorials. Thanks

  • @sailasrick6678
    @sailasrick6678 2 ปีที่แล้ว +2

    This lesson is too easy and understable keep up,.

  • @dipanwitabasu5607
    @dipanwitabasu5607 2 ปีที่แล้ว +3

    Thank you so much sir for such a detailed explanation. 🙏

  • @asedanyantakyiwaa468
    @asedanyantakyiwaa468 2 ปีที่แล้ว +2

    Wow 😲😲😲😲😳 u are such a great teacher. I wish u are my teacher in school

  • @beattier
    @beattier 3 ปีที่แล้ว +3

    This really helped me. Thank you!

  • @cod_red_9736
    @cod_red_9736 ปีที่แล้ว +2

    This helped me thank you sir very good teacher

  • @DefibilatorX
    @DefibilatorX ปีที่แล้ว +1

    How do I thank you
    You changed a lot
    Alot of difficult topics and chapters and theorems. You made it way easier for me thank you very much ❤❤❤❤

  • @isakjohannes5978
    @isakjohannes5978 2 ปีที่แล้ว +1

    actually I found my best lecturer, aww so nice

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    @priceymirembesamantha800 3 ปีที่แล้ว +1

    I've been looking for you all my life😭❤️

  • @anariinfohub6026
    @anariinfohub6026 3 ปีที่แล้ว +2

    Watching here from Nigeria. Remain blessed Sir.

    • @simpleman283
      @simpleman283 2 ปีที่แล้ว

      I just watched a show about the hyena man in Nigeria.
      It was crazy. I felt bad for the animals and the people.
      Shalom

  • @stevenhillman6376
    @stevenhillman6376 9 หลายเดือนก่อน +1

    Super clear explanation. Many thanks.

  • @lansealswaby8651
    @lansealswaby8651 ปีที่แล้ว +1

    This guy is phenomenal.

  • @okzoia
    @okzoia 3 ปีที่แล้ว +5

    Great teacher; even I can get it now!

  • @hemarajue2736
    @hemarajue2736 4 ปีที่แล้ว +6

    I think we compute the powers of some numbers like 5^5=(3+2)^5 using binomial theorem. Also quadratic expansion like (X+2)^2.
    A time spent on working with basics is worthwhile. One of the best way to familiarise with basics is to solve as many problems as possible; specially step by step.

  • @kaykizza265
    @kaykizza265 2 ปีที่แล้ว +3

    You explain so well

  • @tigrosttrym6372
    @tigrosttrym6372 2 ปีที่แล้ว +3

    Excellent explanation sir..🤗

  • @katebenduba7027
    @katebenduba7027 2 ปีที่แล้ว +1

    You have the binomial concept easier for me.Thanks

  • @Amakhwenkwamadala
    @Amakhwenkwamadala 8 หลายเดือนก่อน

    This is what I call perfect teaching 🥺❤

  • @adetunjiking-fy2ep
    @adetunjiking-fy2ep ปีที่แล้ว +1

    You just taught me what my Lecturer couldn't in three classes in a few minutes video

  • @valeriewinter6204
    @valeriewinter6204 4 ปีที่แล้ว +2

    I love u .. u deserve alot of recognition

  • @drippy2489
    @drippy2489 2 ปีที่แล้ว +3

    youre a great teacher sir

  • @alocin110
    @alocin110 4 ปีที่แล้ว +6

    Excellent! Thank you.

  • @Sinkalayhuset
    @Sinkalayhuset 9 หลายเดือนก่อน +1

    Best teacher❤

  • @miyah_talks
    @miyah_talks ปีที่แล้ว +1

    You have a new subscriber🎉

  • @kw9694
    @kw9694 ปีที่แล้ว

    Beautiful explanation, and Miraculous how it works.

  • @MHatch2008
    @MHatch2008 10 หลายเดือนก่อน

    I'm having difficulty finding Part 2 of The Binomial Theorem and Binomial Expansion? Part 1 was Excellent!!!

  • @latanarose4794
    @latanarose4794 2 ปีที่แล้ว +3

    May God bless you, thank you so much. You are such a life saver 🙏❤️

  • @izackibrahimu8593
    @izackibrahimu8593 ปีที่แล้ว +1

    Thank you for being an excellent teacher !! And I understand you well the lesson

  • @rogerngai8828
    @rogerngai8828 ปีที่แล้ว

    😀Thanks. I enjoy your lecture. You bring me back to my high school days. I had graduated from high school 50 years ago.😅

  • @keanneraymesobre1171
    @keanneraymesobre1171 ปีที่แล้ว

    OMG THANK U I'VE BEEN SEARCHING FOR SOMEONE TO EXPLAIN THE EXPONENTS

  • @BullDogg-wk7dj
    @BullDogg-wk7dj 5 หลายเดือนก่อน

    I really love your processes and teaching and I must follow you

  • @ADAMMARIAM-j8q
    @ADAMMARIAM-j8q 9 หลายเดือนก่อน

    Your teaching made it easier for me to understand this topic.you are amazing, thank you 👍👍

  • @Emaxing
    @Emaxing ปีที่แล้ว +1

    Amazing way of teaching

  • @favourchidozie3629
    @favourchidozie3629 3 ปีที่แล้ว +1

    Thanks alot sir😭
    You murdered it💕🤗

  • @ponnannapdong8587
    @ponnannapdong8587 10 หลายเดือนก่อน

    God bless you, I'm now a guru of binomial expansion

  • @russabud4926
    @russabud4926 4 ปีที่แล้ว +4

    Thanks! So helpful and understud all the steps. But a question can you solve (a-b)2 the same or sould we wait for upcoming videos?

    • @shivalikavig985
      @shivalikavig985 4 ปีที่แล้ว +1

      you would do the same thing, and then make the value of b = -b, and then you could simplify that.

  • @brianmugusu5686
    @brianmugusu5686 3 ปีที่แล้ว +4

    wow it was a wonderful lecture

  • @RachelRachel-lg5gp
    @RachelRachel-lg5gp 6 หลายเดือนก่อน

    Making maths fun is your gift🎉❤❤

  • @penguinlearning450
    @penguinlearning450 4 ปีที่แล้ว +15

    Great video! Binomials cant be a tricky subject for many students!

    • @GalacticSloth39
      @GalacticSloth39 3 ปีที่แล้ว +2

      As well as grammar

    • @geebrin8333
      @geebrin8333 2 ปีที่แล้ว

      @@GalacticSloth39 😂you just had to

  • @scientificmaths
    @scientificmaths 2 ปีที่แล้ว +2

    Thanks for this lovely work tutor. Pls does that theorem apply for when the value of n is negative and fraction or when n is less than 1

  • @vanessaadu2674
    @vanessaadu2674 ปีที่แล้ว +2

    Thank very much sir!❤

  • @Sarge7711
    @Sarge7711 ปีที่แล้ว

    YOU ARE THE BEST THANK YOU FOR BEING SUCH AN AWESOME TEACHERRR!!!!!!!!!!!!!!!!!!!!!!!!!!!!!