Using binomial expansion to expand a binomial to the fourth degree

แชร์
ฝัง
  • เผยแพร่เมื่อ 9 ม.ค. 2025

ความคิดเห็น • 162

  • @vishalbhatia6652
    @vishalbhatia6652 6 ปีที่แล้ว +123

    Learn Vedic Maths my friend - you got stuck on -32*3 = - 96

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +78

      thanks, happens to the best of us

    • @vishalbhatia6652
      @vishalbhatia6652 6 ปีที่แล้ว +25

      No worries. I teach Applied Vedic Maths

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +37

      cheers!

    • @aramish3037
      @aramish3037 5 ปีที่แล้ว +26

      Pascals triangle is really hard to teach... he was just thinking about something else and couldn't multiply 32 x 3...

    • @Dipp182
      @Dipp182 4 ปีที่แล้ว +13

      Applied Vedic Math, that is just fancy talk for...You need 2 calculators and a Doctrine to know what I am talking about..

  • @Illuym
    @Illuym 6 ปีที่แล้ว +259

    You actually just explained this better in a 6 min video then my professor did in my 3 hour lecture, thank you :)

    • @esdan779
      @esdan779 4 ปีที่แล้ว +2

      Same

    • @9b_b16_yatarjairolance2
      @9b_b16_yatarjairolance2 3 ปีที่แล้ว +2

      it's bcoz the way they communicate isn't concise and open

    • @minty_macaron
      @minty_macaron 2 ปีที่แล้ว +11

      Wait…professor?! I’m deadass learning it in Grade 10..

    • @celestinbelonie2099
      @celestinbelonie2099 2 ปีที่แล้ว +1

      Had 20 mins to learn this

    • @findingnemo92
      @findingnemo92 ปีที่แล้ว

      @@minty_macaron learning in 8th lol its hard af

  • @mikecherri
    @mikecherri 5 ปีที่แล้ว +146

    Every math instructor seems very passionate and fun, except for mine, absorbs the life out of the materials

    • @Krai1234
      @Krai1234 4 ปีที่แล้ว +2

      Maybe you are the problem

    • @kaiwilson5218
      @kaiwilson5218 3 ปีที่แล้ว

      I have to go online and watch math videos instead of my teacher's lectures because my teacher's voice is horrendous

    • @ecebaris3841
      @ecebaris3841 3 ปีที่แล้ว +3

      @@Krai1234 how? It is a teacher's responsibility to make a subject more understanding and more fun for his students. There's no difficult subject. It's the teacher's fault, not the student's.

    • @heuno8487
      @heuno8487 3 ปีที่แล้ว +1

      @@ecebaris3841 but if the student doesnt put enough work
      what are they supposed to learn

    • @almjrm5633
      @almjrm5633 2 ปีที่แล้ว

      You haven't seen mine he wants is to fail

  • @corndig7395
    @corndig7395 6 ปีที่แล้ว +28

    Only a Jr in highschool, I hated this lesson... this cleared up so much. Thank you

  • @muhammadumar.9392
    @muhammadumar.9392 2 ปีที่แล้ว +9

    I couldn't understand this topic in my university lecture.... but a million thanks to sir for making it this simple.... Huge respect for u

  • @mynameiswalterhartwellwhite
    @mynameiswalterhartwellwhite 2 หลายเดือนก่อน +2

    This is so helpful! He explained it much better than my ap precalc teacher.

  • @rb5587
    @rb5587 3 ปีที่แล้ว +6

    I love how this guy writes. Also thank you so much I would have done poorly on my test, but I learned this is 6 minutes instead of 10+ hours of worthless studying.

  • @addyraper1291
    @addyraper1291 4 ปีที่แล้ว +15

    thank you so much for recording this, i honestly i would not have been able to understand it since i was attempting to teach myself how to do it because i've been out because of COVID, so thank you so much and i also love how interactive you are with your class!

  • @sinuhinjamescliefford2650
    @sinuhinjamescliefford2650 4 ปีที่แล้ว +4

    Because of you ,I can answer now my recitation! thanks a lot

  • @Lechatbleu-dd1wp
    @Lechatbleu-dd1wp 5 ปีที่แล้ว +5

    Wow! 😶😀I really appreciate how enthusiastic you are. I REALLY WISH every math teacher could teach like that! Thank you SO much. You make me actually care about what I’m doing.

  • @1mariomaniac
    @1mariomaniac 4 ปีที่แล้ว +12

    He has a legendary expo markers lightsaber behind him that's how you know he's legit.

  • @vincentgo7633
    @vincentgo7633 6 ปีที่แล้ว +12

    Sir what is your opinion..
    Can I be an Engineer even though I'm not good in math?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +13

      yes, keep practicing!!!

  • @ashleymahadeo5332
    @ashleymahadeo5332 4 ปีที่แล้ว +6

    His subscribers are either all his students or people like me who can't understand math over video calls in quarantine 😂

  • @prowlandsasuke
    @prowlandsasuke 4 ปีที่แล้ว +35

    Me already crying because he didnt explain how he got those numbers for the triangle.

    • @kats4ever608
      @kats4ever608 4 ปีที่แล้ว +5

      You add the two numbers above in the triangle and you start and end with 1

    • @tehillahInc
      @tehillahInc 3 ปีที่แล้ว

      @@kats4ever608 imagine its power 23 it would be a tedious process. Do you have any remedy for that

    • @pratyxx3169
      @pratyxx3169 3 ปีที่แล้ว

      @@tehillahInc you can study combinations for that since it is the main factor behind those binomial expansions and that triangle is made to simplify combinations which can make calculations easy for short expressions

  • @humphreyipeli8706
    @humphreyipeli8706 2 หลายเดือนก่อน

    The best explanation 👌

  • @hannahbanana9989
    @hannahbanana9989 2 ปีที่แล้ว

    i was literally having a break down cuz i couldnt understand this, I can now. tysm!!!!!!!

  • @ridaakhtar9321
    @ridaakhtar9321 ปีที่แล้ว

    ur doing gods work ma dude

  • @kevinzhong23
    @kevinzhong23 5 หลายเดือนก่อน

    ty soooo much, this was so beneficial i cant lie at all. appreciate it.

  • @cmace22
    @cmace22 4 ปีที่แล้ว +1

    Thank you for simply explaining what Khan Academy couldnt.

  • @visiblygnomed177
    @visiblygnomed177 4 ปีที่แล้ว +1

    Thank you for making these videos. I hate this so much but these are helpful

  • @chelseapaytonlarry
    @chelseapaytonlarry 4 ปีที่แล้ว +2

    Omg, the exact question I was looking for! Wow that’s very convenient 😄

  • @razasyed575
    @razasyed575 4 ปีที่แล้ว

    we love you brian mclogan

  • @jnanasrija7915
    @jnanasrija7915 6 ปีที่แล้ว +2

    It is very clear. Thank you sir

  • @niko4617
    @niko4617 3 ปีที่แล้ว

    This guy is a life hack

  • @servant0017
    @servant0017 3 ปีที่แล้ว +1

    Thank you a lot, so far videos have just explained this to me through (a+b)^n and I need an actual problem

  • @unstoppable-johns
    @unstoppable-johns 2 ปีที่แล้ว +3

    (2x+3)(2x+3) X (2x+3)(2x+3)
    If I expand and simplify the answer would be
    16x4 - 96x3 + 216x2 - 216x + 81
    If am wrong please correct me 🙏

  • @lumineem4744
    @lumineem4744 4 ปีที่แล้ว +4

    I see people in the comments who are in college but I’m doing this in 7th grade and I’m very confused

  • @noura-561
    @noura-561 6 ปีที่แล้ว +1

    You’re really creative thanks👍💗

  • @cartilyy
    @cartilyy 2 หลายเดือนก่อน

    5:21 where did they get 481 and brian didnt just ran with it

  • @DianeRyanONeill
    @DianeRyanONeill 4 ปีที่แล้ว

    Fantastic. Thank you!

  • @deadshortgaming
    @deadshortgaming ปีที่แล้ว

    Thank you sir very long time iam trying to get the answer but I am not able to solve the problem but I understand and i will solve it

  • @Cloudyy.xoxo18
    @Cloudyy.xoxo18 4 ปีที่แล้ว +1

    Why are we using the plus sign?

  • @RavindraSingh-cq5re
    @RavindraSingh-cq5re 6 ปีที่แล้ว +5

    Too good sir
    Where are you from sirr?

  • @carmenlopez7698
    @carmenlopez7698 3 ปีที่แล้ว

    Thank you so much this really helped!

  • @jrequintos9116
    @jrequintos9116 3 ปีที่แล้ว

    whos still watching this 2021??? thanks the still helps

  • @itznia230
    @itznia230 4 ปีที่แล้ว

    This helped alot ❤

  • @lassila3
    @lassila3 5 ปีที่แล้ว +1

    Struggled with this, understood the first time.....

  • @--076
    @--076 2 ปีที่แล้ว

    how do you come up with the numbers the triangle?

  • @LEO8C
    @LEO8C 3 ปีที่แล้ว +1

    Just saved me 20 mins before my math quiz 😭😭

  • @patrickprah845
    @patrickprah845 10 หลายเดือนก่อน

    Also in powers of even numbers your operation sign because , I learnt someone asked that (-3)^4 will be positive 81 because the exponent is even but (-3)^3 will be negative 27 because the exponent is an odd number 😊

  • @anayahchowdhury7044
    @anayahchowdhury7044 2 ปีที่แล้ว +1

    how did u get 2x to the power of 3?

  • @mrambo3218
    @mrambo3218 ปีที่แล้ว

    Thanks I was struggling to mulltiplyit out

  • @elliottrush2610
    @elliottrush2610 6 ปีที่แล้ว +1

    Thank You you saved me my friend

  • @patrickprah845
    @patrickprah845 10 หลายเดือนก่อน

    Please is this pascal or binomial theorem ? Because the description says binomial

  • @jessalabutap9396
    @jessalabutap9396 4 ปีที่แล้ว

    Sir, how do you get positive 216?

  • @graciellaangelanebres8783
    @graciellaangelanebres8783 5 ปีที่แล้ว

    Thank you for this very comprehensive video :) kudos!

  • @twangerrrrrr
    @twangerrrrrr 11 หลายเดือนก่อน +1

    students and that one guy in the back made it mad awkward after saying 481

  • @zoel3096
    @zoel3096 4 ปีที่แล้ว

    I miss real school so much i watch these to feel like im there

  • @raynanwar2406
    @raynanwar2406 2 ปีที่แล้ว

    i got so confused when i saw 481, and I got 81. I'm glad to see I didn't mess up.

  • @yngrid.playlist5297
    @yngrid.playlist5297 4 ปีที่แล้ว

    How about a multinomial with exponent?

  • @sea5205
    @sea5205 5 ปีที่แล้ว

    Thanks a lot!

  • @feje.benedict1146
    @feje.benedict1146 2 ปีที่แล้ว

    Very good

  • @joshrose7890
    @joshrose7890 10 หลายเดือนก่อน

    thank your mr. mathematical bald man

  • @JanetLo-y4e
    @JanetLo-y4e ปีที่แล้ว

    How about (x+9)²

  • @Krai1234
    @Krai1234 4 ปีที่แล้ว

    Why is it always that the last term is y raise to the power of n

  • @francisaidoo5918
    @francisaidoo5918 4 หลายเดือนก่อน

    Where is the -96 from

  • @patches393
    @patches393 2 ปีที่แล้ว

    i got confused with the zero powers like -3^0 equal -1 so i got the first term negative

  • @scarlettbaltazar4121
    @scarlettbaltazar4121 5 ปีที่แล้ว

    What if there was a y after the 3?

    • @siyigou2990
      @siyigou2990 4 ปีที่แล้ว

      works the same..Just bracket like this (-3y) and add the power at the back

  • @Offical_Kelven
    @Offical_Kelven ปีที่แล้ว

    Although the answers are close to correct... You provided little to know justification for why the calculations for the second to the last and the last term were calculated different... The sign could tell😢😅

  • @destruc.5213
    @destruc.5213 4 ปีที่แล้ว

    Shit I Thought i was Johnny Sins

  • @shunlu1217
    @shunlu1217 2 ปีที่แล้ว

    test on 28th, hopefully I can pass

  • @SanthoshKumar-li4on
    @SanthoshKumar-li4on 5 ปีที่แล้ว

    What is binomial ? Sir

    • @rohangreen8890
      @rohangreen8890 4 ปีที่แล้ว +1

      Santhosh Kumar - A bit later, but an expression with two terms is known as a binomial.

  • @dylanwakefield7466
    @dylanwakefield7466 3 ปีที่แล้ว

    I have an exam that I’m gonna fail tommorow on this, oh boy

  • @princeofheroes7218
    @princeofheroes7218 4 ปีที่แล้ว +1

    I dont understand ant of this this is the first I heard of the binomial expansion theorem

  • @melanchinalmendral1364
    @melanchinalmendral1364 4 ปีที่แล้ว

    im confused in the 5th term, how did u get the 481? 😂

  • @ToxikDnB544
    @ToxikDnB544 3 ปีที่แล้ว

    This guy looks like Nik Noisia

  • @AnnieStrawberry06
    @AnnieStrawberry06 ปีที่แล้ว

    You calm me down

  • @overwatchnoob8540
    @overwatchnoob8540 4 ปีที่แล้ว

    All that work for one math question no way?

  • @Dipp182
    @Dipp182 4 ปีที่แล้ว

    How do I apply this in the real world?

    • @rohangreen8890
      @rohangreen8890 4 ปีที่แล้ว +1

      Dip333 - To be honest, you don’t really apply anything past middle school math in real life

  • @mahamettsedali9014
    @mahamettsedali9014 3 ปีที่แล้ว

    Nice

  • @tonmoybhuiyan2406
    @tonmoybhuiyan2406 4 ปีที่แล้ว +1

    Sir, i can't understand this
    It's Very confusing " I'm a very bad
    Student in math😥😥

  • @envisdrako
    @envisdrako 4 ปีที่แล้ว

    Thx

  • @shashalom1347
    @shashalom1347 3 ปีที่แล้ว

    The ads is so funny.

  • @themcarrow3216
    @themcarrow3216 5 ปีที่แล้ว

    Im failing. Is my teacher even supposed to be teaching this in sophomore year?

    • @nickynickels4540
      @nickynickels4540 5 ปีที่แล้ว +1

      TheMCArrow32 my guy I'm taking this freshman year and my teacher didn't even teach it. He gave it to us as a project over my break. Told us to make a lesson plan and basically teach it. Everyone got different topics about shit we don't even know

  • @inyohmaryann8089
    @inyohmaryann8089 4 ปีที่แล้ว

    There is something error in that explanation above negative and positive...

  • @rachit6586
    @rachit6586 2 ปีที่แล้ว

    Koi Indian haen kya idher

  • @Sosa_q
    @Sosa_q 3 ปีที่แล้ว

    I'm confused is this 8th grade math or college

  • @parthpatel2712
    @parthpatel2712 6 ปีที่แล้ว +2

    The 4th term is neg(136x) instead of 216

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +2

      how are you getting that? 6*4*9 is 216

    • @parthpatel2712
      @parthpatel2712 6 ปีที่แล้ว

      Brian McLogan sorry sir ur right my mistake

  • @zeyyyynep759
    @zeyyyynep759 ปีที่แล้ว

    İnsanların üniversite dersinde anlayamadıklarını söyleyince üzülüyorum türkiyede lise 2 de biz bu konuyu görüoruz ve üniversite sınavı için çok basit bir anlatım hedef ettiğiniz kitleye uygun ama türkiyede sınavlar çok ileri seviyede😢

  • @hard6338
    @hard6338 6 ปีที่แล้ว +1

    There should be a -81 a the last.

    • @olianslow3943
      @olianslow3943 6 ปีที่แล้ว

      Md Mahir no its positive 81 because -3*-3 is 9, then 9*-3 is -27, then -27*-3 is positive 81.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      thanks Oli

    • @olianslow3943
      @olianslow3943 6 ปีที่แล้ว

      Brian McLogan welcome, thanks for the video

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      cheers!

  • @saintanndecatur8926
    @saintanndecatur8926 6 ปีที่แล้ว +2

    ur board is dirty

    • @olliepubgmobile
      @olliepubgmobile 5 ปีที่แล้ว +4

      Cuz he writes on it!!!!!!

    • @Dipp182
      @Dipp182 4 ปีที่แล้ว

      Your*

  • @marriii3626
    @marriii3626 4 ปีที่แล้ว +2

    This still does not make any sense

  • @demariuscoleman2149
    @demariuscoleman2149 4 ปีที่แล้ว

    why so many dislikes

  • @officialbreddagav3426
    @officialbreddagav3426 3 ปีที่แล้ว

    I am lost

  • @kasafieh265
    @kasafieh265 ปีที่แล้ว

    wow

  • @tess5095
    @tess5095 3 หลายเดือนก่อน

    Bro what

  • @ENTJ616
    @ENTJ616 4 ปีที่แล้ว +1

    may I say your students doesn't respect you😅😅😅

  • @deimos7737
    @deimos7737 4 ปีที่แล้ว

    Comment 100

  • @ahzamarain6863
    @ahzamarain6863 5 ปีที่แล้ว

    Man's got slick handwriting but rly can't do simple multiplication😂

  • @samcowin7417
    @samcowin7417 3 ปีที่แล้ว +1

    This guy has no idea what he's talking about.

  • @AynRand1967
    @AynRand1967 2 ปีที่แล้ว

    A little dry

  • @KirtiKushwaha-i1z
    @KirtiKushwaha-i1z 9 หลายเดือนก่อน

    India teach better

  • @Legend-ts1pb
    @Legend-ts1pb 2 ปีที่แล้ว

    Very poor math you have

  • @VirusGod
    @VirusGod 5 ปีที่แล้ว

    My Calc teacher, Mr Hunnicutt, would’ve explained this 6 minutes faster than you. Bahahahahahahahahaha Hahahahahaha bad calc teacher

    • @ericsmith116
      @ericsmith116 5 ปีที่แล้ว +4

      What does this comment do for anyone? He was thorough, he slipped on a couple calculations but that happens to all math teachers every now and then.
      Why don't you teach a math class and we'll see how well you do with students and a camera on you.

    • @wyomingcase7457
      @wyomingcase7457 5 ปีที่แล้ว +3

      Your intelligent comment shows us just how intelligent you are

    • @rohangreen8890
      @rohangreen8890 4 ปีที่แล้ว

      You have to remember that he is teaching a class and fielding questions as he goes. He is a fantastic teacher, I have learnt so much from him. So what if he stumbles a little bit? We all do.

    • @nathanhab3591
      @nathanhab3591 4 ปีที่แล้ว

      @@rohangreen8890 Exactly. Happens to the best of us.