All of Binomial Expansion in 25 Minutes!! | Chapter 8 | A-Level Pure Maths Revision

แชร์
ฝัง
  • เผยแพร่เมื่อ 21 ธ.ค. 2024

ความคิดเห็น • 92

  • @TheGCSEMathsTutor
    @TheGCSEMathsTutor  3 ปีที่แล้ว +15

    👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - th-cam.com/video/UiKVBshIOv4/w-d-xo.html
    If anyone would like to support the channel you can become a member here: th-cam.com/channels/StPzCGyt5tlwdpDXffobxA.htmljoin or buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼
    New Discord Link: discord.gg/nRMtgr5AWA 👑

  • @datonebro613
    @datonebro613 2 ปีที่แล้ว +109

    I cannot thank you enough my teacher would have had to go to hell and back to teach this to the whole class.

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 ปีที่แล้ว +10

      So glad to hear I could help 😁🙏🏼

  • @Sammykuy
    @Sammykuy ปีที่แล้ว +106

    at 22:17 you did 10C1 instead of 10C0, so at the end it should be 10C3=120 instead of 10C4=120

    • @Clippy4you
      @Clippy4you ปีที่แล้ว +18

      i thought my calculator was broken 💀

  • @ty0725
    @ty0725 3 หลายเดือนก่อน +6

    Mate you are a lifesaver, seeing this in the first 5 days of further maths has stunned me but you have managed to fully explain it to me! You actually take time to explain everything instead of skipping steps and assuming everyone knows everything.

  • @GCSEALevelMaths2025
    @GCSEALevelMaths2025 3 ปีที่แล้ว +24

    That’ll be very helpful for anyone doing a level maths I’ll definitely share it! Thanks sir really appreciate it!!

  • @user-lb5ys8tm2o
    @user-lb5ys8tm2o 3 ปีที่แล้ว +24

    Thank you so much, next waiting for all of as pure maths "differentiation".

  • @exztic3775
    @exztic3775 2 ปีที่แล้ว +51

    I'm doing further maths at GCSE and have been using your videos and was wondering why at 21:04 you use 10C1 through 10C4 for the first four terms rather than 10C0 through 10C3 as the values are right in the sense of the question but not in the sense of the calculator output. Other than that your channel is extremely helpful

  • @jameschester7839
    @jameschester7839 3 ปีที่แล้ว +35

    Killed it.. this is such a clear and concise overview of this chapter! Legend 🔥🔥

    • @GCSEALevelMaths2025
      @GCSEALevelMaths2025 3 ปีที่แล้ว +4

      Thanks James for always supporting this guy. We need more people like you, Nathan and the gcse maths tutor in this world. Hope you do well in your studies!!

  • @TransformTrance
    @TransformTrance 2 ปีที่แล้ว +9

    SUPERRRR SIR I THOUGHT I WILL FAIL THIS YEAR BROAD EXAM BUT AFTER FOUND UR CHANNEL & WATCHING UR VIDEO REALLY MAKE ME THINK CONFIDENTLY THAT I WILL PASS THANKS YOU SO MUCH FOR EXISTING!💘✨✨💫

  • @Flq
    @Flq 13 วันที่ผ่านมา +1

    Thank you for saving my a level maths as well as gcse!

  • @rhiadoesart5462
    @rhiadoesart5462 2 ปีที่แล้ว +7

    i’m in year 10, and we did binomial expansion in fm class, this is great to revise from for a test soon its super helpful so thank you :)

    • @taiju5462
      @taiju5462 ปีที่แล้ว +3

      @Bottle_of_air YT fm= further maths

  • @shirleyyldz8747
    @shirleyyldz8747 3 ปีที่แล้ว +9

    This is the only channel that I follow on TH-cam for maths 🌸💜
    Just love it.. Thanks for making the maths learning journey easier for us ♥️🤘🏻

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 ปีที่แล้ว +3

      So glad you are enjoying the channel! Thank you for the kind words 😁🙏🏼

  • @Bacon_xx4
    @Bacon_xx4 2 ปีที่แล้ว +1

    Literally watched this for 5 mins and now i can do binomial estimation. thanks!

  • @icxuna
    @icxuna ปีที่แล้ว +1

    This is so underrated I swear😭I finally understood this unit and I think you saved me from getting like 20 on my exam tomorrow. Thank you so muchhhh

  • @at7681
    @at7681 2 ปีที่แล้ว +2

    Subscribed because this actually made sense and works

  • @gentlefush8020
    @gentlefush8020 6 หลายเดือนก่อน +2

    I really cant thank you enough for this video.

  • @DanHaines-kw3bl
    @DanHaines-kw3bl 3 ปีที่แล้ว +2

    Shot for this vid! This is exactly what I need to work on!!! 😊

  • @an.3ffan799
    @an.3ffan799 2 ปีที่แล้ว +6

    thank u very straight forward and understandable explanations

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 ปีที่แล้ว +3

      No problem at all! Glad your finding them useful 😁🙏🏼

  • @kyuzo3313
    @kyuzo3313 3 ปีที่แล้ว +4

    The GOAT Maths Tutor.

  • @TozzaYT
    @TozzaYT 3 ปีที่แล้ว +7

    20:34 did you mean starting from 10C0 and not 10C1? i think you did this q wrong

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 ปีที่แล้ว +9

      Ahhh I labelled it wrong but the numbers and answer is right! I do this sometimes as I know Pascal’s triangle in my head so I don’t use a calculator until the 15th or 16th row 🤣

    • @TozzaYT
      @TozzaYT 3 ปีที่แล้ว

      @@TheGCSEMathsTutor ohh okay

    • @Hellooo1357
      @Hellooo1357 2 ปีที่แล้ว

      So do we start from 10c0 ?

    • @yujirohanma203
      @yujirohanma203 2 ปีที่แล้ว

      @@Hellooo1357 yes

    • @AS-rq6tr
      @AS-rq6tr 2 ปีที่แล้ว

      @@Hellooo1357 Yup

  • @maw5818
    @maw5818 ปีที่แล้ว +2

    Can you use nCr with a negative power? My calculator says it’s outside the domain… love the vid, thanks

  • @mdkabir9036
    @mdkabir9036 11 หลายเดือนก่อน

    Bro, I dont even know how to thank you, such a life saver u are ❤❤

  • @danyaliqqbal3368
    @danyaliqqbal3368 2 ปีที่แล้ว +8

    Sir why didn’t you use 10c0 as a first term why did you use 10c1 instead 20:50

    • @jovanplaha291
      @jovanplaha291 ปีที่แล้ว +1

      lol I saw that too, very confused at first

    • @AK4.1
      @AK4.1 ปีที่แล้ว +1

      i dont get it either

    • @serenedagamerxd3046
      @serenedagamerxd3046 ปีที่แล้ว

      I think it was just a little mistake as 10c0 comes out as 1 and he just mistakenly wrote 10C1 is 1 but it is 10

  • @philip5090
    @philip5090 3 ปีที่แล้ว +3

    Perfect.

  • @straymite707
    @straymite707 3 ปีที่แล้ว +5

    This is very useful thanks so much I'm currently doing this in a levels rn!

  • @Entomologymaxwell
    @Entomologymaxwell 11 วันที่ผ่านมา

    hello there, this is one heck of a fantastic channel, really helped me to get a top grade in gcse maths and further maths. I am doing a-level maths and was wondering if you covered statistics? many thanks

  • @sonniededja1917
    @sonniededja1917 ปีที่แล้ว

    Please keep making a level videos they're the best on TH-cam

  • @HafsaTahir-hg5ot
    @HafsaTahir-hg5ot ปีที่แล้ว +2

    You are amazing, this channel helped me so much during covid and my gcse and again during my a-levels now

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  ปีที่แล้ว +1

      Happy to help! So glad the channel is useful for you 😁🙏🏼

  • @thug_262
    @thug_262 ปีที่แล้ว

    Yo honestly really helpful, such a legend

  • @user-lb5ys8tm2o
    @user-lb5ys8tm2o 3 ปีที่แล้ว +3

    Can you please upload integration & differentiation as maths, really need it before next Thursday.

  • @mariaalhaj1185
    @mariaalhaj1185 ปีที่แล้ว +1

    20:46 why was 10C0 not the first term?

    • @EdricCasamina
      @EdricCasamina 6 หลายเดือนก่อน +1

      He messed up XD

  • @danyaliqqbal3368
    @danyaliqqbal3368 2 ปีที่แล้ว

    I love you man ur a genius ❤❤❤❤❤ I appreciate your work u have done sooo hard work for us thankssssss alotttt

  • @drenters2891
    @drenters2891 9 หลายเดือนก่อน

    17:11 why does we take px as squared

  • @infinity8362
    @infinity8362 11 หลายเดือนก่อน

    thankkk you!! amazing as always :))

  • @drthrayjaxymaxy8017
    @drthrayjaxymaxy8017 7 หลายเดือนก่อน

    I get stuck when both of the terms in the brackets are an *x* or when the x is the denominator of a division, or when there is a combination of these. Eg. ( x + 2/x )^5
    How would I go about this.🙃

  • @JeCaii_
    @JeCaii_ ปีที่แล้ว

    Thank you very much 👍🏼❤️

  • @adamraza7536
    @adamraza7536 3 ปีที่แล้ว +1

    Can you make a video going over the difficult content that comes up in aptitude tests when applying to do a level maths

  • @beklemeyapmacaykoy3938
    @beklemeyapmacaykoy3938 ปีที่แล้ว +1

    Hi i just wanna ask that my teacher said eg when the question says first 4 terms we need to start with 0 like 10C0 10C1 10C2 10C3 is that right

    • @Ghost-fh3lg
      @Ghost-fh3lg 10 หลายเดือนก่อน

      My teacher said smthn like that too , like 10C2 = 10/2. Idk if I wasn’t listening properly

  • @epicgamer5269
    @epicgamer5269 3 ปีที่แล้ว +1

    Do you have a video on limits

  • @thinguyetmai2448
    @thinguyetmai2448 14 วันที่ผ่านมา

    Hi, I watched your tutorial for this as refreshing my A level Maths in binomial topic. I understood the first question and completed it without any problem (as I paused your tutorial and solve it before comparing with your step by step working out and happy with the result. The second question, I just want to ask, as the question is asking to find the first 4 terms, I used the pascal triangle to find the coefficients and choose row correctly, with coefficients are: 1,5,10,10,5,1 and I expected the last two coefficients 5 and 1 also being count in but in your tutorial it you did not choose them, may I ask a why question please?
    Also for the third question finding 3 terms in accending power of x of the binomial (1+px) power of 10. how did you find out the second and third coefficients are 10 and 45 please?

  • @abigailwoods9188
    @abigailwoods9188 ปีที่แล้ว

    Thx sir may God bless you

  • @shiroplays8809
    @shiroplays8809 2 ปีที่แล้ว

    Exam morning and all i can say that us that ur an absolute G

    • @mya.tatum.
      @mya.tatum. 10 หลายเดือนก่อน

      how did ur exam go??

  • @ImranAwan-n9s
    @ImranAwan-n9s ปีที่แล้ว

    Will Pascal's triangle ever come up in the AQA exams, or is it more for helping to understand binomials?

    • @eggl07
      @eggl07 ปีที่แล้ว

      in edexcel it more to just understand

  • @mohammedjaved5461
    @mohammedjaved5461 2 ปีที่แล้ว

    Clear ❤

  • @nathanhawey294
    @nathanhawey294 3 ปีที่แล้ว +1

    Legend!

  • @GurdipSingh-f3g
    @GurdipSingh-f3g 3 หลายเดือนก่อน

    Hi, Thx for your videos.
    I have 2 questions, plz ans!
    1. Is this applicable for Edexcel?
    2. If I sub 0.1 into formula in the q will i get the ans wrong or have marks deducted. although the ans is the same - there is a difference of 0.0001 approx
    plz let me know!!
    thx! :)

  • @basset5889
    @basset5889 ปีที่แล้ว

    how do i do it on the fx 991 cw casio calculator, please help

    • @خلصذيب
      @خلصذيب ปีที่แล้ว

      its either in the tools or catalog i dont remember as i use graphical calculator now 😁

  • @peterdillon5979
    @peterdillon5979 3 ปีที่แล้ว +2

    Trigonometry a level?

  • @sejjall_fr
    @sejjall_fr 2 ปีที่แล้ว

    Yeah I understiod really well but when you were doing the sum at 18:55 why did you neglect the p^2

    • @JeCaii_
      @JeCaii_ ปีที่แล้ว

      It wasn't neglected he divided both sides by p to get rid of the square

  • @darylbuchanan4140
    @darylbuchanan4140 9 หลายเดือนก่อน

    thanks

  • @ushnaimran9672
    @ushnaimran9672 9 หลายเดือนก่อน

    Life saver

  • @jhnart0647
    @jhnart0647 2 ปีที่แล้ว +3

    bro is carrying my a levels at this point lmao

  • @sneesh5145
    @sneesh5145 3 ปีที่แล้ว +1

    thanks alot! From your mod, meatloaf lol also can u make a series for inequality english questions? It's for my brother, thanks!

  • @yunusmithaiwala2372
    @yunusmithaiwala2372 2 ปีที่แล้ว

    Amazing

  • @Domistar33
    @Domistar33 2 ปีที่แล้ว

    very helpfull

  • @namjoonie505
    @namjoonie505 2 ปีที่แล้ว

    16:00

  • @raiyansamplifiedgaming6806
    @raiyansamplifiedgaming6806 2 ปีที่แล้ว +1

    This topic is also in the igcse.

  • @Domistar33
    @Domistar33 2 ปีที่แล้ว +1

  • @jwake928
    @jwake928 ปีที่แล้ว

    at 18:24 isn't the coefficient of x^2 45p^2 ?
    the calculation should be 45p^2 x 9 = 10p
    (10p is the coefficient of x)

  • @chonk6023
    @chonk6023 ปีที่แล้ว

    15:40

  • @betin731
    @betin731 6 หลายเดือนก่อน +4

    NCR??? New California Republic?!?!?!?!?

  • @lokat5452
    @lokat5452 11 หลายเดือนก่อน

    I LOVE YOU

  • @Yuvi-h4t
    @Yuvi-h4t 2 หลายเดือนก่อน

    I love you

  • @IvanJerry-n4l
    @IvanJerry-n4l หลายเดือนก่อน

    The combinations of the last number need to be corrected because when a student does it on the side they get a different answer from yours and that becomes confusing since many trust this site and your videos 😢

  • @YeimyMontonya-qv7kh
    @YeimyMontonya-qv7kh ปีที่แล้ว +2

    It's too difficult to understand 😫😓

  • @sanguine9031
    @sanguine9031 ปีที่แล้ว

    what

  • @maxgonpot6297
    @maxgonpot6297 ปีที่แล้ว +1

    Really good but you made a mistake at the end!