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🔍 The Binomial Theorem - Example 1 🔍 

patrickJMT
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24 сен 2024

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Комментарии : 416   
@patrickjmt
@patrickjmt 7 дней назад
📈 Don't Forget to: LIKE this video if you find it helpful! SHARE with friends or classmates who need a math boost! SUBSCRIBE for more educational content on math, algebra, and beyond!
@tiffanyoh1434
@tiffanyoh1434 4 года назад
the fact that this came out before I was even in kindergarten and yet it's saving me in high school
@brilliantmindscholars57
@brilliantmindscholars57 4 года назад
That's the point..... That's why we tutors do what we do
@soulbladeA46
@soulbladeA46 Год назад
😂exactly
@GARDENERSTOES
@GARDENERSTOES 12 лет назад
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 лет назад
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 лет назад
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!
@sunstriker1113
@sunstriker1113 9 лет назад
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 лет назад
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)
@xenexphobia
@xenexphobia 8 лет назад
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
@pragyajainmittal
@pragyajainmittal 12 лет назад
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!
@h3moodi
@h3moodi 6 лет назад
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!!
@StasisDreams
@StasisDreams 11 лет назад
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.
@mpho438
@mpho438 4 года назад
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*
@brilliantmindscholars57
@brilliantmindscholars57 4 года назад
Very nice feeling.
@aaliyah_alecia
@aaliyah_alecia 4 года назад
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 4 года назад
stupid people often need repeated explanations.
@juliawburn2352
@juliawburn2352 4 года назад
@@pigeonlove y u gotta be like that
@Ricky-ew1lh
@Ricky-ew1lh Год назад
This video was a massive help!! omg I checked everywhere and could not get it until this video! BIG THANKS!!
@patrickjmt
@patrickjmt 14 лет назад
@haridarshana you are very welcome
@harry-m645
@harry-m645 Год назад
This video came out when I was 3 years old but this literally saved my life. Thank you
@patrickjmt
@patrickjmt 12 лет назад
@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)
@DudeNight
@DudeNight 10 лет назад
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.
@mrmuh2000
@mrmuh2000 12 лет назад
I like the way you do it. Simple and straight to the point.
@pheephee7301
@pheephee7301 7 лет назад
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 !!!
@arybbang
@arybbang 3 года назад
Whut? This was posted before I came out to this world and amazingly helped me. Wow.
@theone123ize
@theone123ize 11 лет назад
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.
@ChicaMorena94
@ChicaMorena94 14 лет назад
dude you got me through this year! you teach better than my math teacher!!! i Fing love you!
@maleeshamadhuranga1582
@maleeshamadhuranga1582 3 года назад
I'm from Sri Lanka 🇱🇰 This is saving my life since of many times.thank you very much sir❤️🙏
@andreirocks1992
@andreirocks1992 12 лет назад
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. :)
@tomlandersUK
@tomlandersUK 13 лет назад
Hi, I just found these videos, they're great! Definitely going to help me pass my exams next week!
@patrickjmt
@patrickjmt 12 лет назад
glad i could help :)
@lungandita5182
@lungandita5182 7 лет назад
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.
@laura22111
@laura22111 13 лет назад
i am self-studying the binomial theorem. And ur video really help me:) it's clear! thanks sooo much!
@sonyb19
@sonyb19 12 лет назад
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.
@AAKGaming
@AAKGaming 8 лет назад
Thanks for this, i'm now a topic ahead of schedule :)
@jingyiwang5113
@jingyiwang5113 10 месяцев назад
Thank you so much for such an amazing explanation! It is really helpful!
@YCMakertheSecond
@YCMakertheSecond 12 лет назад
Thank you so much. You explained it better in 11 minutes than my teacher did. Thanks!
@janitbilve7244
@janitbilve7244 10 лет назад
Really Helpful!!!! Thanks a ton!!! This has got me prepared for my test next week!!!
@coffeelicks
@coffeelicks 13 лет назад
i got the highest in calculus today .......... thanks a MILLION :) ur the best teacher ever
@Deleoss
@Deleoss 10 лет назад
Thanks for all the vids. They help so much more than most math instructors that I've had.
@totonazar5383
@totonazar5383 9 лет назад
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 !
@pieterdebie
@pieterdebie 12 лет назад
Thanks a lot. There really should be a nobel prize for math.
@raymon760
@raymon760 9 лет назад
I wish my professor taught it like this. Thanks a lot man!
@x3airhead7
@x3airhead7 12 лет назад
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.
@patrickjmt
@patrickjmt 14 лет назад
@ChicaMorena94 ha, glad to help : )
@occupytosavetheworld
@occupytosavetheworld 11 лет назад
You are absolutely brilliant sir you win the Internet.
@eldazambrano8293
@eldazambrano8293 6 лет назад
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 !!!
@matt-nelsonrodriguez4815
@matt-nelsonrodriguez4815 9 лет назад
Exam Tomorrow and now i'm watching this. Thanks a lot :)
@rananjaykumarsingh4134
@rananjaykumarsingh4134 5 лет назад
Oh my that's same with me...
@Seokjinnnnie
@Seokjinnnnie 10 лет назад
Thank you so much! I have a major test tomorrow and your videos are really helping me!!! :D
@racheltaubman2737
@racheltaubman2737 11 лет назад
You are a lifesaver! I will dedicate my math test to you.
@emirazmeer9474
@emirazmeer9474 12 лет назад
seriously when im watching this....i much understand on this topic!!! thanx lect...u r AWESOME!!
@lisasvideos944
@lisasvideos944 7 лет назад
Thank you so much. I have my exam in 2 weeks and you have helped so much !!!!!!
@beatsforonlyu
@beatsforonlyu 13 лет назад
Have a math test tomoro on this!! thanks a million for your videos!!
@nafisa.t13
@nafisa.t13 11 лет назад
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!
@missbutter81
@missbutter81 8 лет назад
love love love youuuuuuu! don't know what to do without youuuuuu!
@nameless4630
@nameless4630 8 лет назад
ikr im soo grateful for his videos they help me so much
@syedmaaz3510
@syedmaaz3510 5 лет назад
What happens when n is a negative number
@MQasim-ys2ef
@MQasim-ys2ef 4 года назад
OMG this is saving my life since a long time, Thank you very much Sir 🙏❤️
@patrickjmt
@patrickjmt 4 года назад
You are most welcome
@katemiddleton2047
@katemiddleton2047 4 года назад
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
@Dalton1294
@Dalton1294 10 лет назад
I use nCo*a^n*b^0+nC1*a^n-1*b^1+nC2*a^n-2*b^2+...+nCn*a^0*b^n, and it is the same formula, just written differently
@RobStephfanfver
@RobStephfanfver 14 лет назад
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.
@dweepcan
@dweepcan 12 лет назад
@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
@weedwak
@weedwak 10 лет назад
Thank you so much! You would actually make an amazing math teacher!
@tedliang1583
@tedliang1583 7 лет назад
u teach so much better than my cancer math teacher
@betteryet4928
@betteryet4928 6 лет назад
Ted Liang Hahaha I have a cancer teacher as well! He's smart but doesn't know how to teach TF!
@Panditatt
@Panditatt 5 лет назад
I finally understood what my professor for combinatorics tried to explain me
@graceangelessilandote6175
@graceangelessilandote6175 4 года назад
This came out when I was 2 years old, and now that I'm 13, this is really helpful
@andygolem5514
@andygolem5514 4 года назад
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.
@eni8374
@eni8374 4 года назад
You explain better than my teacher💙💙
@hardstylekid123
@hardstylekid123 12 лет назад
@Janette605 its the ! on your calculator. basically it means that n!=n.n-1.n-2. e.g. 3!=3x2x1
@haridarshana
@haridarshana 14 лет назад
Hi, I just found your site. These videos are great. Thank you for making these available!
@Biopony720
@Biopony720 15 лет назад
if the second & third terms in the expansion of (1+x)^3 (1+bx)^4 are 5x and 3x^2 find the value of a & b
@noemifontanilla7559
@noemifontanilla7559 6 лет назад
Dude you are a big help since i am first year college till now im 5th year
@germandrummer13
@germandrummer13 10 лет назад
6:28 The last "1" does not cancel, but (5/1)=5
@abenezerg.tadele7027
@abenezerg.tadele7027 7 лет назад
You just saved me from IB
@mogoggy8205
@mogoggy8205 7 лет назад
HAPPY CHAPPY SAVE ME
@Joshua-eh3bb
@Joshua-eh3bb 7 лет назад
Tell me about it ugh
@nnataliered
@nnataliered 6 лет назад
Abenezer G. Tadele same man...
@neha_suresh
@neha_suresh 4 года назад
Same here dude!!:-)
@btslove4680
@btslove4680 4 года назад
Thank you soooo much dear it’s really helpful 💜💜💜💜💜
@shabbalabba1620
@shabbalabba1620 11 лет назад
INSANELY AWESOME i was struggling with this but now i GET IT
@sarahmaegrueso
@sarahmaegrueso 11 лет назад
I love this video, really help me for my exam tomorrow. THANKS.
@mathsaddmathssolutions157
@mathsaddmathssolutions157 8 лет назад
thanks a lot man,this helped me a lot to pass my test at college,you explained it thousands times better than my teacher
@jetswhiteout961
@jetswhiteout961 9 лет назад
Good reminder for me, used to know how to do this in high school forgot lol
@narasimhamurty3391
@narasimhamurty3391 2 года назад
Thank you this is very helpful to me
@abdullahshahid1834
@abdullahshahid1834 7 лет назад
what would we do without this dude..... Getting F in math Thanks Patrick JMT
@mckeleli
@mckeleli 9 лет назад
Thanks man you really helped me.... I will now score a full mark on this question. Thanks once again.
@simonthuo12
@simonthuo12 6 лет назад
just impressed from the beginning thanks a lot
@fhe3fhe3
@fhe3fhe3 11 лет назад
it's slightly faster and easier than multiplying and collecting like terms, so it is slightly more efficient.
@devilshavewings
@devilshavewings 10 лет назад
Why were wall the other 1's removed apart from the last one in the (x+1)^5 equation?
@damiccathedesigner
@damiccathedesigner 12 лет назад
THANKS A LOT! So gald there is a video out there that isn't 30 mins long and confusing!
@vijaysinghchauhan7079
@vijaysinghchauhan7079 4 года назад
How would you solve if the expression is raised to a negative power?
@earth2kenzie
@earth2kenzie 11 лет назад
1 raised to any number equals 1. 1 multiplied by any number equals the number that 1 was multiplied by, so he just erased the 1s even though they are technically still there.
@AshleighGreaves93
@AshleighGreaves93 14 лет назад
Hey.. you see in the formula what does the r mean, and how do i work it out?
@bilibob32352
@bilibob32352 13 лет назад
clear, concise, and to the point. Thanks a million
@thezohan2112
@thezohan2112 13 лет назад
in your professional opinion. what would be the highest "n" power given in an exam? and thanks a million for your great vids
@dipjothipaul5868
@dipjothipaul5868 8 лет назад
thanks man u explained it better than my teacher
@TheHacker0007
@TheHacker0007 8 лет назад
+Dipjothi paul My teacher didn't explain it
@ismaelhernandez5045
@ismaelhernandez5045 8 лет назад
+TheHacker0007 feelsbadman
@GuardianDiancie
@GuardianDiancie 9 лет назад
I hope your probability and statistics videos will become a lot helpful for me during this liberal arts math class. I have no idea how to solve the probability problems in the textbook. And my only hope lies with Patrickjmt's videos. They were helpful in the past, hope there still as helpful
@raniagescobar6767
@raniagescobar6767 6 лет назад
I understand just in 5 minutes You Are the Man I’m sending a big hug for you man thanks a lot you’ve explained it a lot better than my teacher
@killer99520
@killer99520 10 лет назад
this was really useful
@patrickjmt
@patrickjmt 10 лет назад
great ;)
@mysmiley300
@mysmiley300 12 лет назад
Wooo Thank You Patrick! You are a life- saver!
@chimikins35
@chimikins35 12 лет назад
Quiz tomorrow on this and i didn't get how to do the last step.. thank you!
@ingni123456
@ingni123456 12 лет назад
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!
@angiefrancois4687
@angiefrancois4687 7 лет назад
You are the best Patrick! Thank you!!
@SamBM17
@SamBM17 12 лет назад
Hi Patrick. Do you have a video on factorials?
@OngakuLeMay2013
@OngakuLeMay2013 11 лет назад
This is brilliant!!!! thank you so much!
@seascapes152
@seascapes152 3 года назад
Where is the first video that explains how to combine factorials? Can give me the link please
@iamjessy74
@iamjessy74 3 года назад
amazing! how about 5! devided by 8! how would it be? how to evaluate n? can you pls do an example for this?
@whgpqls2330
@whgpqls2330 12 лет назад
this is a great tutorial!! it helped a lot with my understanding :) thanks!!
@pasanfernando5776
@pasanfernando5776 11 лет назад
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 :)
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