23 - The Binomial Theorem & Binomial Expansion - Part 1

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  • čas přidán 5. 10. 2020
  • More Lessons: www.MathAndScience.com
    Twitter: / jasongibsonmath
    In this lesson, you will learn what the binomial theorem is, why it is important, and how we can use the binomial theorem to expand binomials that are raised to any power (exponent). The binomial theorem is a formula that allows us to raise any binomial to any exponent (power) and calculate all terms of the binomial expansion. It works by calculating the results of pascal's triangle which are then used as the coefficient for the binomial expansion. The binomial expansion is very important in math but also in physics and engineering. We can often approximate a binomial raised to a power by taking only the first few terms of the expansion which can help us perform more complex calculations in calculus, physics, and other subjects.

Komentáře • 352

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    @lauraash3517 Před 3 lety +103

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  • @kobinakyeremeh2425
    @kobinakyeremeh2425 Před 2 lety +13

    Where’s part 2 ?

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      @NeinaAbdulMajeed Před rokem

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      @RoscoesRiffs Před rokem +1

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    @youcannotspeaktomeanyhow Před 3 lety +90

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    • @lkern6238
      @lkern6238 Před 2 lety +12

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      @kel1404 Před rokem +1

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  • @joelm.a.1063
    @joelm.a.1063 Před 3 lety +5

    Thanks man!!!
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  • @pematashi8014
    @pematashi8014 Před 3 lety +5

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

  • @letsthinkit
    @letsthinkit Před 2 lety +4

    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.

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      @simpleman283 Před 2 lety +1

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  • @RoscoesRiffs
    @RoscoesRiffs Před 2 lety +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. 😎

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    @NormanDigine-rj2ms Před 10 měsíci +1

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    @fazzynone1 Před 2 lety +10

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    @muhammedhabib7345 Před 2 lety +7

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  • @Coolbyrd1
    @Coolbyrd1 Před 2 lety +4

    This was a very helpful explanation. Thank you!

  • @TomilobaAdegalu
    @TomilobaAdegalu Před rokem +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]

  • @kitsurubami
    @kitsurubami Před 2 lety +4

    can someone link me to part 2?

  • @skhulilezwane2609
    @skhulilezwane2609 Před 3 lety +1

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

  • @naseerakhtar7706
    @naseerakhtar7706 Před 3 lety +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.

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      @wilsonmwamba91 Před 3 měsíci

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    @abdullahswaleh Před 3 lety +9

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    @youcannotspeaktomeanyhow Před 3 lety +3

    When’s part 2 coming. I have no idea how to find the independent of x

  • @beattier
    @beattier Před 3 lety +3

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    @mavahermanus1992 Před 2 lety +4

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    • @MyOneFiftiethOfADollar
      @MyOneFiftiethOfADollar Před 5 měsíci

      If he is the "only" professor that makes you understand, then consider reading math books.
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    @cken1774 Před 4 měsíci

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    @stevenhillman6376 Před 5 měsíci +1

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    @alocin110 Před 3 lety +6

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  • @Jamesclayton46
    @Jamesclayton46 Před 2 lety +2

    Please how do I find the second video? I check your channel but I don't know how to search for it can you leave me a link to it?

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    @izackibrahimu8593 Před rokem +1

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    @israelkur2018 Před rokem +3

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    @user-pe3qk2lc9r Před 4 měsíci

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  • @scientificmaths
    @scientificmaths Před 2 lety +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

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    @basilmasvikeni9931 Před 2 lety +2

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    @xiaowenchen2760 Před 2 lety +2

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    @mwalimuewoi Před rokem +2

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  • @lekeshacannon5354
    @lekeshacannon5354 Před rokem +1

    can someone tell me where I can find pt 2 of this video I cannot find it? I love his teaching style he makes it so easy for us to know what we are "actually" doing. So I need to find the second video. if anyone knows where it can be located, please let me know. Thanks in advance.

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    @samiyatahersumaiya1070 Před 2 lety +3

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    @ComfortAsuliwono-py4qf Před rokem +1

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    @keanneraymesobre1171 Před 8 měsíci

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    @maignanmclopez345 Před 3 měsíci

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    @salhakim2322 Před 3 měsíci

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    @DefibilatorX Před 10 měsíci +1

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  • @hunlihophillips6159
    @hunlihophillips6159 Před rokem +1

    Hello sir do you have the part 2 of this topic binomial theorem

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    @kamogelosamotse3617 Před 4 měsíci

    Thank you so much Sir. Indeed you're the best teachers

  • @russabud4926
    @russabud4926 Před 3 lety +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 Před 3 lety +1

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

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    @Amakhwenkwamadala Před 3 měsíci

    This is what I call perfect teaching 🥺❤

  • @ssaha2749
    @ssaha2749 Před rokem +2

    Thank you Sir,very effectively explained 🙏

  • @katebenduba7027
    @katebenduba7027 Před rokem +1

    You have the binomial concept easier for me.Thanks

  • @tigrosttrym6372
    @tigrosttrym6372 Před 2 lety +3

    Excellent explanation sir..🤗

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    @marshel9884 Před 3 lety +6

    Keep up man.

  • @aqsababbar7329
    @aqsababbar7329 Před 3 lety +1

    is part 2 available on the channel ?

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    @drippy2489 Před 2 lety +3

    youre a great teacher sir

  • @twerksarena8136
    @twerksarena8136 Před rokem +2

    How do I find a specific term using the the binomial theorem formula🙏 please reply me. I need help🙏🙏🙏🙏

    • @toyincole2035
      @toyincole2035 Před 2 měsíci

      (a + b)^n = [nCr] [a]^n-r [b]^r
      r = term - 1

  • @joetandingan6328
    @joetandingan6328 Před 3 lety +1

    Excellent teacher

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    @user-bm3bg1kq4t Před 11 měsíci +1

    Great lesson! Where can I find pt2?

  • @strictmec4139
    @strictmec4139 Před rokem +2

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    @favourchidozie3629 Před 2 lety +1

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    @ioannaathineos5269 Před 9 měsíci

    Legendary !thank you Master

  • @𝐴𝑙𝑙𝑎𝑛-𝐴𝑖𝑗𝑢𝑘𝑎

    Am waiting for part two!

  • @cod_red_9736
    @cod_red_9736 Před rokem +2

    This helped me thank you sir very good teacher