🔍 The Binomial Theorem - Example 1 🔍

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  • เผยแพร่เมื่อ 29 ธ.ค. 2024

ความคิดเห็น • 415

  • @patrickjmt
    @patrickjmt  3 หลายเดือนก่อน +2

    📈 Don't Forget to:
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  • @tiffanyoh1434
    @tiffanyoh1434 4 ปีที่แล้ว +159

    the fact that this came out before I was even in kindergarten and yet it's saving me in high school

  • @GARDENERSTOES
    @GARDENERSTOES 13 ปีที่แล้ว +18

    Dude i was just crying myself crazy wonder how in the world i'm going to pass my IB math HL exam and then you came up :) THANK YOU!! is an understatement.

  • @MrCmcag1
    @MrCmcag1 11 ปีที่แล้ว +71

    You have a gift for being able to explain difficult concepts in the simplest of terms that countless other people cannot (and charge money for it). (obviously...THANK YOU VERY MUCH!!!) -Chris C.

  • @feanor607
    @feanor607 15 ปีที่แล้ว +7

    I've found these videos by accident and I love the style of tutoring. Its a pity there is a 10 minute limit. OUTSTANDING JOB!

  • @mpho438
    @mpho438 4 ปีที่แล้ว +1

    That feeling you get when you've been trying to struggling with something, then finally go to youtube, search for a video by patrickJMT. Knowing you will finally understand. *Priceless*

  • @pragyajainmittal
    @pragyajainmittal 12 ปีที่แล้ว +1

    omg, i had no hope in my IB MATHS and now that i saw this i actually understand it. what ever my teacher tries to explain just goes like a bouncer. Thanks a million! owe big time!

  • @sunstriker1113
    @sunstriker1113 9 ปีที่แล้ว +3

    Omg man. You are one heck of a genius. I wonder what will happen to my math if you didn't post this thank you for the help!

  • @sirlagsalot8474
    @sirlagsalot8474 7 ปีที่แล้ว +4

    im planning on watching your videos on my exams tommorow since i forgot most of the lessons in 1st quarter.keep on making vids thanks for the help . (ill update this after the exam)

  • @maleeshamadhuranga1582
    @maleeshamadhuranga1582 3 ปีที่แล้ว

    I'm from Sri Lanka 🇱🇰
    This is saving my life since of many times.thank you very much sir❤️🙏

  • @h3moodi
    @h3moodi 7 ปีที่แล้ว +1

    This video is what made me understand this topic for the first time. I had all the resources next to me which did not help at all. However, this video makes everything digestible and easy to learn. THANK YOU SO MUCH!!

  • @Ricky-ew1lh
    @Ricky-ew1lh 2 ปีที่แล้ว

    This video was a massive help!! omg I checked everywhere and could not get it until this video! BIG THANKS!!

  • @xenexphobia
    @xenexphobia 8 ปีที่แล้ว +1

    Wow i was actually gonna give up on math and eng. until i found this channel. You make it so explicit and clear to follow i'm actually catching pace like never before. God bless you

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @haridarshana you are very welcome

  • @ChicaMorena94
    @ChicaMorena94 14 ปีที่แล้ว

    dude you got me through this year! you teach better than my math teacher!!! i Fing love you!

  • @DudeNight
    @DudeNight 10 ปีที่แล้ว +49

    You... are my hero. Thank you sooo sooo much! I feel like there's hope for me in math when I watch your video's. T_T Your awesome.

  • @StasisDreams
    @StasisDreams 11 ปีที่แล้ว +1

    Thanks a bunch, I understood the Binomial theorem as far as the powers go but was really confused on the coefficients of the terms. This was super useful. Also the fact that you can write lefty on a whiteboard and not smear is pretty dang impressive.

  • @Mikayla_dior
    @Mikayla_dior 5 ปีที่แล้ว +2

    ITS 2019 .I just watched this video and understood what my lecture teacher tried to explain in three weeks .Thanks so much OMG !!!!

    • @pigeonlove
      @pigeonlove 5 ปีที่แล้ว

      stupid people often need repeated explanations.

    • @juliawburn2352
      @juliawburn2352 4 ปีที่แล้ว

      @@pigeonlove y u gotta be like that

  • @harry-m645
    @harry-m645 2 ปีที่แล้ว

    This video came out when I was 3 years old but this literally saved my life. Thank you

  • @theone123ize
    @theone123ize 12 ปีที่แล้ว

    Dude you rock.......you explain things so much better than khan academy.....you should give him a lesson here and there about organization......his explanation is all over the place man....any hoo thanks my man.

  • @jingyiwang5113
    @jingyiwang5113 ปีที่แล้ว +1

    Thank you so much for such an amazing explanation! It is really helpful!

  • @occupytosavetheworld
    @occupytosavetheworld 11 ปีที่แล้ว

    You are absolutely brilliant sir you win the Internet.

  • @andreirocks1992
    @andreirocks1992 12 ปีที่แล้ว

    I really love this internet thing. That you can upload an explanation of something and for years, it will be useful for thousands of people. :)

  • @coffeelicks
    @coffeelicks 13 ปีที่แล้ว

    i got the highest in calculus today .......... thanks a MILLION :) ur the best teacher ever

  • @mrmuh2000
    @mrmuh2000 12 ปีที่แล้ว +1

    I like the way you do it. Simple and straight to the point.

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว +3

    @jaybeebee14 i used to be pretty indifferent to it myself (although i never hated it). it tends to be taught in the most boring, useless way (i think). i, myself, am guilty too since i am showing mechanics mostly (but only because this is what matters for your grade)

  • @arybbang
    @arybbang 4 ปีที่แล้ว

    Whut? This was posted before I came out to this world and amazingly helped me. Wow.

  • @sonyb19
    @sonyb19 12 ปีที่แล้ว

    I think your the best, I tend to understand you very good and I am not a Star at Mathematics, thanks, soo I intend to look you up for other math problems, keep doing what you do and thats being one of the best teachers.

  • @racheltaubman2737
    @racheltaubman2737 11 ปีที่แล้ว

    You are a lifesaver! I will dedicate my math test to you.

  • @YCMakertheSecond
    @YCMakertheSecond 12 ปีที่แล้ว

    Thank you so much. You explained it better in 11 minutes than my teacher did. Thanks!

  • @tomlandersUK
    @tomlandersUK 14 ปีที่แล้ว +1

    Hi, I just found these videos, they're great!
    Definitely going to help me pass my exams next week!

  • @pieterdebie
    @pieterdebie 12 ปีที่แล้ว

    Thanks a lot.
    There really should be a nobel prize for math.

  • @germandrummer13
    @germandrummer13 11 ปีที่แล้ว +9

    6:28
    The last "1" does not cancel, but (5/1)=5

  • @btslove4680
    @btslove4680 4 ปีที่แล้ว +1

    Thank you soooo much dear it’s really helpful 💜💜💜💜💜

  • @nafisa.t13
    @nafisa.t13 11 ปีที่แล้ว

    you have zero idea of the lives you are basically SAVING. xD The best thing about your videos is that you don't rush the explanations. It takes me some time to absorb each bit of info for which reason going fast really messes up my focus. So glad you made these vids! The worst math student on earth is gonna pass with flying colours!

  • @eni8374
    @eni8374 5 ปีที่แล้ว

    You explain better than my teacher💙💙

  • @laura22111
    @laura22111 13 ปีที่แล้ว

    i am self-studying the binomial theorem.
    And ur video really help me:)
    it's clear!
    thanks sooo much!

  • @emirazmeer9474
    @emirazmeer9474 12 ปีที่แล้ว

    seriously when im watching this....i much understand on this topic!!! thanx lect...u r AWESOME!!

  • @x3airhead7
    @x3airhead7 12 ปีที่แล้ว

    I LOVE when I Google something math related and one of your videos comes up. I'm just like, "YES! I'll actually understand it now." The end.

  • @Deleoss
    @Deleoss 11 ปีที่แล้ว

    Thanks for all the vids. They help so much more than most math instructors that I've had.

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว +12

    glad i could help :)

  • @totonazar5383
    @totonazar5383 9 ปีที่แล้ว +10

    Dear Patrick , YOU ROCK .. no YOU ROCKKKKK ! Gosh math is way easier now :D Thanks ALOT ! Don''t get me wrong but i love you ! Greetings from AFRICA !

  • @RobStephfanfver
    @RobStephfanfver 14 ปีที่แล้ว

    You have to come to Singapore one day, man! My entire class failed their Additional Maths class cause we didn't know shit about anything you have in your tutorials! Please be our new Maths teacher.

  • @MQasim-ys2ef
    @MQasim-ys2ef 4 ปีที่แล้ว

    OMG this is saving my life since a long time, Thank you very much Sir 🙏❤️

    • @patrickjmt
      @patrickjmt  4 ปีที่แล้ว

      You are most welcome

  • @pheephee7301
    @pheephee7301 8 ปีที่แล้ว

    i had to take Number Theory as an independent study course .... the professor handed me a book and told me to read the first 5 chapters and expect a test by the end of the semester .... I was considering to change my major :( long story short, Patrick has become my at home professor lOl !!!
    THANK YOU SOOOOOOOO MUCH !!!

  • @lisasvideos944
    @lisasvideos944 7 ปีที่แล้ว

    Thank you so much. I have my exam in 2 weeks and you have helped so much !!!!!!

  • @eldazambrano8293
    @eldazambrano8293 7 ปีที่แล้ว

    Thank you so so much ! I haven't been to figure this out at all until I clicked on to your video! I have a final tomorrow and I totally get this now. Thank you !!!

  • @janitbilve7244
    @janitbilve7244 10 ปีที่แล้ว +1

    Really Helpful!!!! Thanks a ton!!! This has got me prepared for my test next week!!!

  • @missbutter81
    @missbutter81 8 ปีที่แล้ว +5

    love love love youuuuuuu! don't know what to do without youuuuuu!

    • @nameless4630
      @nameless4630 8 ปีที่แล้ว +1

      ikr im soo grateful for his videos they help me so much

  • @beatsforonlyu
    @beatsforonlyu 14 ปีที่แล้ว

    Have a math test tomoro on this!! thanks a million for your videos!!

  • @AAKGaming
    @AAKGaming 9 ปีที่แล้ว +4

    Thanks for this, i'm now a topic ahead of schedule :)

  • @lungandita5182
    @lungandita5182 7 ปีที่แล้ว +2

    hello sir can u plz do this exercise : Find the first 4 terms of expansion of the function 1/(2 - x)^2 using binomial series.

  • @haridarshana
    @haridarshana 14 ปีที่แล้ว

    Hi, I just found your site. These videos are great. Thank you for making these available!

  • @raymon760
    @raymon760 10 ปีที่แล้ว +1

    I wish my professor taught it like this. Thanks a lot man!

  • @Seokjinnnnie
    @Seokjinnnnie 11 ปีที่แล้ว

    Thank you so much! I have a major test tomorrow and your videos are really helping me!!! :D

  • @orusenpai
    @orusenpai 8 ปีที่แล้ว

    So, I havent learn bionomial yet,but wanting to get a head start. I have a question at 6:10. Whats with that?

    • @orusenpai
      @orusenpai 8 ปีที่แล้ว

      The 5x4x3x2x1 bla3

    • @Dilhan_17
      @Dilhan_17 8 ปีที่แล้ว

      that's factorial

  • @tedliang1583
    @tedliang1583 7 ปีที่แล้ว +7

    u teach so much better than my cancer math teacher

    • @betteryet4928
      @betteryet4928 6 ปีที่แล้ว

      Ted Liang Hahaha I have a cancer teacher as well! He's smart but doesn't know how to teach TF!

  • @matt-nelsonrodriguez4815
    @matt-nelsonrodriguez4815 10 ปีที่แล้ว +1

    Exam Tomorrow and now i'm watching this.
    Thanks a lot :)

  • @abenezerg.tadele7027
    @abenezerg.tadele7027 8 ปีที่แล้ว +37

    You just saved me from IB

    • @mogoggy8205
      @mogoggy8205 7 ปีที่แล้ว

      HAPPY CHAPPY SAVE ME

    • @Joshua-eh3bb
      @Joshua-eh3bb 7 ปีที่แล้ว

      Tell me about it ugh

    • @nnataliered
      @nnataliered 6 ปีที่แล้ว

      Abenezer G. Tadele same man...

    • @neha_suresh
      @neha_suresh 5 ปีที่แล้ว

      Same here dude!!:-)

  • @sarahmaegrueso
    @sarahmaegrueso 12 ปีที่แล้ว

    I love this video, really help me for my exam tomorrow. THANKS.

  • @shabbalabba1620
    @shabbalabba1620 11 ปีที่แล้ว

    INSANELY AWESOME i was struggling with this but now i GET IT

  • @weedwak
    @weedwak 10 ปีที่แล้ว +7

    Thank you so much! You would actually make an amazing math teacher!

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว +1

    @ChicaMorena94 ha, glad to help : )

  • @devilshavewings
    @devilshavewings 11 ปีที่แล้ว

    Why were wall the other 1's removed apart from the last one in the (x+1)^5 equation?

  • @jessicaseimy1884
    @jessicaseimy1884 6 ปีที่แล้ว

    Is there a way you could like tag the videos you referenced? I'm having trouble finding them...

  • @simonthuo12
    @simonthuo12 7 ปีที่แล้ว

    just impressed from the beginning thanks a lot

  • @مصريمهمايكن
    @مصريمهمايكن 8 ปีที่แล้ว

    THANKS MAN, U ALWAYS HELP ME SO MUCH

  • @seascapes152
    @seascapes152 3 ปีที่แล้ว

    Where is the first video that explains how to combine factorials? Can give me the link please

  • @angiefrancois4687
    @angiefrancois4687 7 ปีที่แล้ว

    You are the best Patrick! Thank you!!

  • @noemifontanilla7559
    @noemifontanilla7559 7 ปีที่แล้ว

    Dude you are a big help since i am first year college till now im 5th year

  • @dipjothipaul5868
    @dipjothipaul5868 9 ปีที่แล้ว +21

    thanks man u explained it better than my teacher

  • @SamBM17
    @SamBM17 12 ปีที่แล้ว

    Hi Patrick. Do you have a video on factorials?

  • @Panditatt
    @Panditatt 5 ปีที่แล้ว +1

    I finally understood what my professor for combinatorics tried to explain me

  • @mysmiley300
    @mysmiley300 12 ปีที่แล้ว

    Wooo Thank You Patrick! You are a life- saver!

  • @pasanfernando5776
    @pasanfernando5776 11 ปีที่แล้ว

    Thanks a lot :) I'm a GCSE student and we have to do this shit. Our teacher didn't have time to teach us so we got to teach ourselves :/ This is really clear, thanks :)

  • @philipsjr.3849
    @philipsjr.3849 7 ปีที่แล้ว

    You've absolutely saved me😢😢😢.

  • @whgpqls2330
    @whgpqls2330 12 ปีที่แล้ว +1

    this is a great tutorial!! it helped a lot with my understanding :) thanks!!

  • @graceangelessilandote6175
    @graceangelessilandote6175 4 ปีที่แล้ว

    This came out when I was 2 years old, and now that I'm 13, this is really helpful

  • @vijaysinghchauhan7079
    @vijaysinghchauhan7079 4 ปีที่แล้ว

    How would you solve if the expression is raised to a negative power?

  • @dweepcan
    @dweepcan 13 ปีที่แล้ว

    @az121na
    Yes you can, and it is a much shorter and easier method
    if u want a video on that there is a annotation for the video showing how to use a pascal's triangle at 1:10-1:27

  • @AshleighGreaves93
    @AshleighGreaves93 14 ปีที่แล้ว

    Hey.. you see in the formula
    what does the r mean, and how do i work it out?

  • @mckeleli
    @mckeleli 9 ปีที่แล้ว

    Thanks man you really helped me.... I will now score a full mark on this question. Thanks once again.

  • @narasimhamurty3391
    @narasimhamurty3391 2 ปีที่แล้ว +1

    Thank you this is very helpful to me

  • @bilibob32352
    @bilibob32352 13 ปีที่แล้ว

    clear, concise, and to the point. Thanks a million

  • @elizabethemami5673
    @elizabethemami5673 8 ปีที่แล้ว

    For the x+1, why are all the 1s at the end ignored? Like 1 to the 3rd, 1 to the second ect. It still equals one. I'm just confused why they aren't counted

    • @ThatGuyWithDiabetes
      @ThatGuyWithDiabetes 7 ปีที่แล้ว

      Because multiplying ones by itself always ends up to one still and multiplying ANYTHING with one is always the number itself, so there is no need to write down a one beside every term

  • @saanyaafroze6371
    @saanyaafroze6371 8 ปีที่แล้ว +1

    I love your videos Pat! They are really helpful:)

  • @katemiddleton2047
    @katemiddleton2047 4 ปีที่แล้ว +3

    I cant believe im expected to do this when no one ever taught me what any of the math words your using to explain this means. My school is a fcking joke

  • @urras100
    @urras100 11 ปีที่แล้ว

    thnxs a lot
    it helped me a lot
    you are seriously amazing

  • @damiccathedesigner
    @damiccathedesigner 12 ปีที่แล้ว

    THANKS A LOT! So gald there is a video out there that isn't 30 mins long and confusing!

  • @andygolem5514
    @andygolem5514 4 ปีที่แล้ว

    Just started learning combinatorics and this video did way more for my understanding than 3 chapters a textbook filled with mathematical notation. I know it's not practical to explain every single step to the simplest level but filling a book with squiggly lines almost makes math not worth learning for a lot of people.

  • @annak5489
    @annak5489 6 ปีที่แล้ว +1

    This video was so helpful, thank you! :)

  • @Yazzzzy
    @Yazzzzy 10 ปีที่แล้ว +1

    bruh, your a life saver.

  • @iamjessy74
    @iamjessy74 3 ปีที่แล้ว

    amazing! how about 5! devided by 8! how would it be? how to evaluate n? can you pls do an example for this?

  • @ingni123456
    @ingni123456 12 ปีที่แล้ว

    I don't understand why you are cancelling out all values of 1.
    Surely they are a part of the sum as well?
    Please help, very confused!

  • @supdawid8246
    @supdawid8246 8 ปีที่แล้ว

    Thank you for the video, help out a lot, you explained it clearly and understandably, thanks again :)

  • @abdullahshahid1834
    @abdullahshahid1834 7 ปีที่แล้ว

    what would we do without this dude.....
    Getting F in math
    Thanks Patrick JMT

  • @sandisiwetengwa8776
    @sandisiwetengwa8776 5 ปีที่แล้ว

    thanks alot sir for such a wonderful video, you made it clear and easy

  • @tman7022
    @tman7022 9 ปีที่แล้ว

    THank you! this video is very detailed and informing!

  • @phamhoangnam8259
    @phamhoangnam8259 6 ปีที่แล้ว

    thanks for this useful video! I need some more so I hope you can frequently update new more videos! thanks a lot!

  • @hardstylekid123
    @hardstylekid123 13 ปีที่แล้ว

    @Janette605 its the ! on your calculator. basically it means that n!=n.n-1.n-2. e.g. 3!=3x2x1