The Binomial Expansion

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  • เผยแพร่เมื่อ 29 ต.ค. 2024

ความคิดเห็น • 81

  • @haseebkamran3051
    @haseebkamran3051 5 ปีที่แล้ว +18

    I honestly cannot thank you enough. You have made this topic so easy for me. All of my teachers didn't teach me well enough but you did it perfectly! Thank you sm. God Bless

  • @StarfishMaths
    @StarfishMaths  8 ปีที่แล้ว +13

    Thanks Abby, good spot! And yes I do plan on starting C2 very soon, thank you for your comments!

    • @Chrisgenben
      @Chrisgenben 5 ปีที่แล้ว +2

      Please do them

  • @ericokolalwambe2666
    @ericokolalwambe2666 10 หลายเดือนก่อน +1

    Thanks Sarah for these videos. Very useful. From Kenya🇰🇪

  • @--076
    @--076 4 ปีที่แล้ว +3

    You are an amazing teacher. Why couldn't any of my teachers teach this way.? Wow.

  • @account1307
    @account1307 3 ปีที่แล้ว +1

    Thank you so much for making these videos, I have adhd and find it hard to revise by doing problems in a textbook, having someone go through calculations where I can pause the video and make sure im understanding properly is so so helpful!

  • @enikanselurosemary7500
    @enikanselurosemary7500 4 ปีที่แล้ว +1

    Probably the best math teacher I've ever seen no cap

  • @NuraHm
    @NuraHm 6 ปีที่แล้ว +13

    i wish you were my teacher ... amazing

  • @gracepjs3281
    @gracepjs3281 4 ปีที่แล้ว +3

    This was so helpful, you explain it so well, keep up the good work 🙏🏾

  • @asimiftikhar3867
    @asimiftikhar3867 6 ปีที่แล้ว +35

    9:21 I guess you made an error. Its 54x^2 not 81x^2.

    • @aranshah5943
      @aranshah5943 4 ปีที่แล้ว +1

      Asim Iftikhar init

    • @helenday5031
      @helenday5031 4 ปีที่แล้ว +6

      Yes, there are one or two arithmetic errors, but still a great lesson wasn't it?!

    • @ace6285
      @ace6285 3 ปีที่แล้ว +5

      So glad you pointed that out. I am so insecure about my math ability that I was willing to believe her mistake.

  • @pien40bell
    @pien40bell 7 ปีที่แล้ว

    I'd just like to say, no other video has got my brain to understand this part of C2, and trust me i've tried sooooo many videos and even my teachers... (who are useless, still havnt finished course and exam in less than 1 month). I thank you from the bottom of the heart.

    • @StarfishMaths
      @StarfishMaths  7 ปีที่แล้ว +1

      Applea Salada Thank you for that - what a lovely comment! So pleased it helped. All the very best with your exams!

    • @maxhickman7376
      @maxhickman7376 7 ปีที่แล้ว

      I literally couldn't agree and relate more

  • @rokithragavan1402
    @rokithragavan1402 4 ปีที่แล้ว +1

    goat teacher helped me for fm core pure 1

  • @Mwanatai
    @Mwanatai 2 ปีที่แล้ว

    You are real teacher
    GOD BLESS YOU FOR THAT CALLING

  • @linthasaleem6398
    @linthasaleem6398 6 ปีที่แล้ว +5

    That was very well explained! Thankyou so much!

  • @abbywalklett4855
    @abbywalklett4855 8 ปีที่แล้ว +34

    At 9:52 doesn't 3x2x9x^2 = 54x^2 not 81x^2??

    • @abbywalklett4855
      @abbywalklett4855 8 ปีที่แล้ว +2

      +Abby Walklett oh and will you be doing C2 and S1 because these videos are really good!

    • @frasierhuckle8453
      @frasierhuckle8453 8 ปีที่แล้ว

      +Abby Walklett mmhmm

  • @hussainzahidi4133
    @hussainzahidi4133 7 ปีที่แล้ว +35

    at 9:24 . How did you get 81x^2 when you multiplied 3*2*9x^2 . I guess theres a miscalculation

    • @jeniven8630
      @jeniven8630 5 ปีที่แล้ว +6

      yep..and i thought mine was incorrect xD

    • @rahoofamjad2365
      @rahoofamjad2365 5 ปีที่แล้ว +6

      Yeah it is 54

    • @maramara2777
      @maramara2777 2 ปีที่แล้ว

      @@rahoofamjad2365 thanks lol i do have that same confusion

  • @account1307
    @account1307 3 ปีที่แล้ว

    Also I really appreciate your enthusiasm and positivity in these videos ^__^

  • @skullrazor
    @skullrazor 7 ปีที่แล้ว +7

    Hey, isn't (3x2x9x^2) = 3*2*9 = 54*x^2 = "54x^2". You've gotten 81x^2 somehow.

  • @mohammadjamil9915
    @mohammadjamil9915 5 ปีที่แล้ว

    I honestly cant thank you enough , you just made that topic very easy for me so thank you ❤

  • @Mwanatai
    @Mwanatai ปีที่แล้ว

    Be blessedreal richly Sara.
    I don't have enoughwords to Appreciate

  • @dikshamatai7748
    @dikshamatai7748 6 ปีที่แล้ว +3

    Make more videos 😭😭 your videos are soo good

  • @adewalefolarin1376
    @adewalefolarin1376 2 ปีที่แล้ว

    Woo! Amazing 😍,Good job...keep it up

  • @Antoniolive3k
    @Antoniolive3k 3 ปีที่แล้ว

    Amazing video.

  • @irorunoluwa527
    @irorunoluwa527 2 ปีที่แล้ว +1

    I really appreciate it very much 😊

  • @nadanahiyeh6977
    @nadanahiyeh6977 5 ปีที่แล้ว +2

    It was helpful ! But like how did u get 81 when you multiplied 3x2x9 its (-54)

  • @StarfishMaths
    @StarfishMaths  8 ปีที่แล้ว +2

    Hi Giles, I'm not sure I understand your question completely. If you work out 5C3 either using the methods I went over, or on the calculator, you will get 10 and not 15! Does that help?

  • @fridayyc
    @fridayyc 4 ปีที่แล้ว

    Thanks so much! That’s quite useful for me

  • @pazuzutru-truluv7094
    @pazuzutru-truluv7094 3 ปีที่แล้ว +1

    So many errors - 3 * 2 * 9x^2 = 54x^2 not 81x^2 - or am I missing something?

  • @Yahleetahmitchell
    @Yahleetahmitchell 4 ปีที่แล้ว

    God bless you! Thank you for this video

  • @dmclll1381
    @dmclll1381 4 ปีที่แล้ว +1

    How did u get the answers for the C? In the question find the first 4 terms of (2-x)^6 in ascending order? Did u do it by pascal triangle or by the rule?

    • @ace6285
      @ace6285 3 ปีที่แล้ว

      My question as well. Still waiting for the answer.

  • @trailershub993
    @trailershub993 4 ปีที่แล้ว

    great video

  • @lot4cat
    @lot4cat 4 ปีที่แล้ว

    so question, at 12:00 if the numbers weren't symmetrical would you use 5C3 or 5C2?

  • @lot4cat
    @lot4cat 4 ปีที่แล้ว +1

    i'm only 47 seconds into the video and my mind is already blown

  • @Novokuv
    @Novokuv 8 ปีที่แล้ว +6

    u r a cool person

  • @MohammedHassan-nc8wp
    @MohammedHassan-nc8wp 3 ปีที่แล้ว

    Ma if equation change if this for instance (X-Y)4 or (X+5)5

  • @nimu4932
    @nimu4932 2 ปีที่แล้ว

    what would be done if they ask it in 'descending order' ?
    thanks :)

  • @awesomesauce8220
    @awesomesauce8220 2 ปีที่แล้ว

    👁️👄👁️ uhmm why didn't any of my teachers teach me this!!!! Like why make my life hard when they's a very simple way to do this ,, thank you so much 🙏👍, I literally have my A level last exams in the next two weeks , am def using this method...✨cheers✨🥂

    • @StarfishMaths
      @StarfishMaths  2 ปีที่แล้ว +1

      Good luck with your exams!

  • @abdullahbsali
    @abdullahbsali 8 ปีที่แล้ว +2

    Good video
    btw pascal didnt discover the triangle, other mathematicians studied it centuries before him in India, Persia (Iran) and China.

    • @I.OWN.NOTHING
      @I.OWN.NOTHING 4 ปีที่แล้ว +2

      don't get salty

    • @user-aditi
      @user-aditi 4 ปีที่แล้ว

      @@I.OWN.NOTHING bruh we have every right to, shut up

  • @Gilesscoots
    @Gilesscoots 8 ปีที่แล้ว

    At 12.01 howcome you get 10 and not 15 I understand you said it would be the same answer as they're symmetric but surely if you do 15 times instead of 10 it'll be bigger sorry if this is a bad question

  • @Josh-ig9wx
    @Josh-ig9wx ปีที่แล้ว

    9:12 I think there's a miscalculation there. 3X2X9X(x)^2 = 54x^2

  • @aidenstonehouse9651
    @aidenstonehouse9651 5 ปีที่แล้ว

    Very Nice!

  • @khaigailiaygai4510
    @khaigailiaygai4510 4 ปีที่แล้ว

    Before its difficult but its good now thank

  • @ziadnawfal955
    @ziadnawfal955 6 ปีที่แล้ว

    Thanks... Really thanks ❤

  • @tshiamo.k
    @tshiamo.k 4 ปีที่แล้ว

    Merci✨

  • @morebeans5874
    @morebeans5874 8 ปีที่แล้ว

    thanks for this video it was a lot of help. will you be making more videos. plus can you make some for c2 and s1

  • @buddhabhandari4155
    @buddhabhandari4155 4 ปีที่แล้ว

    in last question why 1--6-15 are using to solve this probleem

    • @aranshah5943
      @aranshah5943 4 ปีที่แล้ว +1

      Buddha Bhandari that is my question

  • @MemeOrbCo
    @MemeOrbCo วันที่ผ่านมา

    9:33 -4 marks

  • @porkiie1999
    @porkiie1999 2 ปีที่แล้ว

    What if you have a negetive exponent

  • @naveedahmed2653
    @naveedahmed2653 6 ปีที่แล้ว

    Thanks

  • @feeneditz5102
    @feeneditz5102 6 ปีที่แล้ว

    How do u do Independent term of x with pascal's triangle

    • @StarfishMaths
      @StarfishMaths  6 ปีที่แล้ว

      Hi Whiplash, not entirely sure what you mean but try multiplying your coefficient form Pascal by the term you’re talking about. Hope that helps.

    • @feeneditz5102
      @feeneditz5102 6 ปีที่แล้ว

      Find the term independent of x (the constant term) in the expansion of [x^2 -3/x] ^9

    • @StarfishMaths
      @StarfishMaths  6 ปีที่แล้ว +1

      Hi Whiplash - that’s a good question - you’ll want to find the term where the positive power of x cancels out the negative one completely, leaving you with just a number. So it looks like that will be the term when x^2 is to the power of 3 (giving x^6) and (3x^-1) is to the power of 6. In this term then the binomial coefficients will also be 9C3 (or 9C6, both the same). Work out the whole term will all those 3 components to find your answer! Good luck!

    • @feeneditz5102
      @feeneditz5102 6 ปีที่แล้ว +1

      ok i think i understand, any chance u could do a video on this it would help alot in my upcoming as math exam

  • @Steve9Freestyle
    @Steve9Freestyle 8 ปีที่แล้ว

    More maths! More maths! :D

  • @asktele3143
    @asktele3143 ปีที่แล้ว

    Example 2 it was 54x² not 81x²

  • @DJGaming-ve8od
    @DJGaming-ve8od 7 ปีที่แล้ว

    nice

  • @shotgunstrin4626
    @shotgunstrin4626 4 ปีที่แล้ว

    on a real one sarah would get it
    maths was good too

  • @Mwanatai
    @Mwanatai 2 ปีที่แล้ว

    Shalom

  • @flawv3rm989
    @flawv3rm989 4 ปีที่แล้ว

    They r not powers of 11 lost 5 Mark's lol

  • @nuzaymadeeqsan6846
    @nuzaymadeeqsan6846 3 ปีที่แล้ว +1

    Please welcome to islam