Binomial Expansion Find a Specific Term

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Learn how to find a specific term when using the binomial expansion theorem in this free math video tutorial by Mario's Math Tutoring.
0:16 Example 1 Find the 4th Term in the Binomial Expansion of
(3x+2y)^5
0:38 Reviewing Pascal's Triangle
0:51 How to Get the Numbers in Pascal's Triangle Using Combinations
1:23 Introductory Example Expand (a+b)^4 Using Binomial Expansion
5:03 Example 2 Find the 7th Term in the Binomial Expansion of (4x-y)^9
6:00 Using nCr Combination Formula to Find Coefficient
Related Videos:
Binomial Expansion Theorem
• Binomial Expansion The...
Binomial Expansion Finding Coefficient
• Binomial Expansion Fin...
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Опубликовано:

24 сен 2024

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Комментарии : 151

@MariosMathTutoring 5 лет назад

Like this video? See another example where you solve just for the coefficient of a term in the binomial expansion here: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-XPmrvRiTruw.html

@asiimwejonathan778 3 года назад

If possible send me a video reason sir

@caramelmacchiato9193 4 года назад

I have my exam tomorrow, and from the first day we learnt this, I felt like crying so hard bc i had no idea what was going on, but damn this video just saved my whole life. Thank you and bless you

@MariosMathTutoring 4 года назад

Glad my video helped you understand the binomial theorem and Pascal’s triangle better!

@joannekangalee3281 4 года назад

It's ridiculous how easy he makes this

@MariosMathTutoring 4 года назад

Glad my video made this easier for you!

@valentinatran8554 4 года назад

I just love how you use the exact same picture of you on literally every single one of your RU-vid thumbnails. Lmao.

@MariosMathTutoring 4 года назад

Hmmm...that’s so you know it’s one of my videos....

@Ash-bf3qx 4 года назад

Can't thank you enough!!! I was so confused before watching your video!

@MariosMathTutoring 4 года назад

You’re welcome! Glad my video helped you!

@constellsty6713 5 месяцев назад

Finally figured this out right before my test because of you, thank you SO MUCH

@MariosMathTutoring 5 месяцев назад

Glad it helped!

@samhoward8909 2 года назад

Had never even heard of binomial expansion till today. Very informative and easy to follow.

@charlespurcell5497 4 года назад

Absolutely saved me!!!! Online learning has been a struggle and your channel has been my GPA's savior

@MariosMathTutoring 4 года назад

Awesome! Glad my videos are helping you Charles!

@colebir 4 года назад

Thank you! I have been struggling with this for a while now. You made it so much easier!

@MariosMathTutoring 4 года назад

Awesome! Glad my video helped you Cole!

@hosanajirehsupilanas4709 3 года назад

This was super helpful for my midterms tomorrow. Thank you so much!

@juunejun 11 месяцев назад

help YOU LITERALLY SAVED ME THANK U SO MUCH MY TEACHER DOESNT GELP AT ALL I TGHANK U SO MICH

@keagan5379 3 года назад

man I wish you were my professor, this was so helpful thank you.

@EmrysEveningstar 5 лет назад

I really understand this videoo, hope it helps me to win our national math contest this week 😍

@MariosMathTutoring 5 лет назад

Good luck on your contest Wesley! Report back if you want and let us all know how you did.

@EmrysEveningstar 5 лет назад

Update: We Won 😍

@MariosMathTutoring 5 лет назад

Awesome! Congratulations!

@amnaimran8159 Год назад

Thanks Mr.Mario. This video was really helpful! I hope this message puts a smile on your face.

@feabambinamarquez Год назад

Thank you from the Philippines!

@BentHestad Год назад

A brilliant and crystal clear professor! Thanks and greetings from Trondheim, Norway!

@tomiwafakola3849 3 года назад

Protect this man at all cost.

@gangel7372 2 года назад

@DesneMaxwell Год назад

Mario - Simply the best

@urbanexplorer6783 3 года назад

Thank you, I watched several videos and this is the only one that made sense.

@shinryujin7806 4 года назад

Life saver!! Thank you, Sir Mario!! I can't thank you enough. 😭

@MariosMathTutoring 4 года назад

You’re welcome Shin!

@ronielomayan5960 2 года назад

Thank you very much prof!. I am from the Philippines. God bless you.

@kenedi987 2 года назад

thanks for the help. was having trouble understanding this concept but this video helped me understand it perfectly within the first few minutes. you have the best math vids on youtube!!!

@premk432 Год назад

Your method is just like my favourite teacher 👍🏿❤️

@ml-qc6wb 3 года назад

ur awesome I couldn't understand it from anywhere until I came here

@clairenime Год назад

Never learned about factorials, will work on these problems, thanks,

@tharaniikumarvelu6013 4 года назад

Sir....u saved me frm working for ques for whole night ......THANK YOU soo much

@Rejoicemurau Год назад

Thank you so much ...can you please help me with the video of finding the (r+1)^th term of the expansion

@xxRafaelProductions 2 года назад

Better than my math teacher, thanks for the help

@kofiosei-tutu5436 4 года назад

Sir, please start solving o level additional maths past questions

@applequestionsexplained5980 Год назад

Great video !!!!! Understood how to do it properly now..

@MariosMathTutoring Год назад

Glad it helped!

@BensleyEWale 3 года назад

Thanks I really learn a lot from your vedios

@SW-2010 2 года назад

This video was perfect. Thank you.

@vedbadukale988 2 года назад

Deserve Like...He Made That difficult looking equation much easy 🤣 thanks

@sktajmohammed8924 4 года назад

This is very very nice I don't have word to appreciate you Love you and god bless you.

@MariosMathTutoring 4 года назад

Glad my video helped you!

@themadirish8202 2 года назад

Thanks

@itsbibs7714 2 года назад

What if it said find term 5 of (4x-3y)^4. Like how are you suppose to do this if row 3 and 4 only go up to 3 or 4 terms. Doesn’t make sense to me

@walinut6443 3 года назад

Question: at 3:15, is 2y raised to the 3rd power because it's the number after C? Is that always the case?

@Sweettsy 3 года назад

yep take after C. for example at 1:30

@ahmethtumbuur2720 2 года назад

Thanks

@lockieroo6934 5 лет назад

Thats a really good explanation sir, but i have one question. I run with a question (x^2+x^-1)^-2 and the question is to find the 9th term. How to solve such problem?

@christostomojago 5 лет назад

negative exponents?

@yulianaibarra9948 4 года назад

Sir you just SAVED MY LIFE NO JOKE ILYSM

@MariosMathTutoring 4 года назад

Glad my video helped you Yuli!

@ericpark462 7 месяцев назад

This method is so easy 😂 I was over-thinking this

@MariosMathTutoring 7 месяцев назад

Glad I could help!

@mjruizsalvador7663 2 года назад

Ar= [nCr-1] [(a)^n-r-1] [(b)^r-1] thank you

@christiang.rabino654 4 года назад

thank you very much, simple and direct explanatio

@MariosMathTutoring 4 года назад

You’re welcome Christian!

@audreequisan4675 3 года назад

how about this (a^2 + 1)^10 what is the 4th term of this

@mawruzz Год назад

Thank you so much :)

@nirmalwalliwatta283 3 года назад

can u put a video of finding the largest term in a binomial expression

@kankrumm7826 3 года назад

Why did you multiply 3x and 2y instead of adding them? I was watching this video to find out why but I still dont get it

@ravikishayari1486 3 года назад

Thank you very much for videos 😊

@hshhdhs839 2 года назад

THE BEST ♥️

@logasivaguru8708 4 года назад

Watching this real worth thanks

@MariosMathTutoring 4 года назад

Glad you liked the video!

@joshuaemmanueldigon5584 5 лет назад

Thank you!!! This s gonna help me in my exam

@MariosMathTutoring 5 лет назад

You’re welcome Cesium97! Good luck on your exam!

@joshuaemmanueldigon5584 5 лет назад

Just finished my exams earlier rhis day and guess what it really helped me a lot. So happy hehehehe just made me breeze through the problems with the likes of the problems on ur vid. Keep it up sir! 🙂

@Afrojack278 5 лет назад

thanks for the help sir !!!

@MariosMathTutoring 5 лет назад

Glad my video helped you Jefri!

@primarion8598 4 года назад

The fak. I wish your my professor. Youve just earn a subscriber Love the godamn way you teach bro so easy.

@MariosMathTutoring 4 года назад

Welcome to the channel! Glad you like my videos!

@teruelryanpaul 4 года назад

at the first example, the most top of the Pascal's triangle is row 0 (right?), why did you use the fourth row (technically the fourth row because, the first row is row 0, right?) when the binomial is raised to 5th power. Thank you so much !!

@MariosMathTutoring 4 года назад

Ryan, check out this other video I did on the binomial theorem it may be able to help you more... Binomial Expansion Theorem ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-ajaAk1CP5pw.html

@teruelryanpaul 4 года назад

sure, thanks !

@tomatoshoes6118 4 года назад

This was helpful. Thank you! 🙏

@MariosMathTutoring 4 года назад

You’re welcome Angel!

@tamarao.7197 2 года назад

Starting at zero, that's the point, thank you.

@victorialira7879 6 лет назад

How about if there's no variable in the second term inside the parentheses

@MariosMathTutoring 6 лет назад

The process would be the same...

@sunketz 4 года назад

hi i have a question regarding finding the fifteenth term of (1+2y)^15 , what do i do when it doesn't have an x?? thank youu i love your videos!!

@SamanthaClayman 4 года назад

Treat the y like you would an x.

@ruelzuluetayeye8437 6 лет назад

Thanks Sir

@MariosMathTutoring 6 лет назад

You’re welcome Ruel! Glad my video helped you!

@xdrake5755 3 года назад

Is this video wrong cause I think the pyramid always starts with 0 not 1 in terms of row so the very top is row 0 not 1

@berk_pulluoglu273 5 лет назад

sir ur videos are amazing, could u make a video about finding the middle term, constant term and the last term in bionominal expansions?

@MariosMathTutoring 5 лет назад

Glad you like my videos! I think this is the video you are looking for: Binomial Expansion Theorem ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-ajaAk1CP5pw.html

@dieaking_07 3 года назад

You're Good👍'nd Thank You!

@asharenji5551 4 года назад

Is this useful for cambridge AS and A levels

@MariosMathTutoring 4 года назад

Asha, I’m not familiar with those....

@estherine4051 4 года назад

Can I ask if the function is with a,b,c (there has a "C"!), Can I use the same formula?

@rainierderryl2230 4 года назад

No you cannot. According to what you're saying, I'm assuming you are asking if it looks like "(a+b+c)^n". You can't use the technique taught in the video as this is the *Binomial* Theorem. A binomial is basically an expression containing two unlike terms e.g (x + 9), (3x - 4), (x^2/7 + 1) etc.

@purplelight4444 5 лет назад

thx

@MariosMathTutoring 5 лет назад

You’re welcome Maxim!

@s1lvur 3 года назад

Johny Sins of the math world

@asharenji5551 4 года назад

its amazing btw

@ryan_17kosh8 4 года назад

Thank you man

@MariosMathTutoring 4 года назад

You’re welcome Ryan!

@sujeewa8067 2 года назад

Thank you so much! btw you look so familiar

@chahkraa 4 года назад

thank you sir

@MariosMathTutoring 4 года назад

You’re welcome!

@sohamg1876 4 года назад

this guy is a ******* GOD saved my life

@MariosMathTutoring 4 года назад

Glad my video helped Soham!

@EverchangingU 5 лет назад

you’re awesome thank you!

@MariosMathTutoring 5 лет назад

Glad you liked the video Jon!

@taskeenmirza6790 4 года назад

Amazing.....👍👍

@MariosMathTutoring 4 года назад

Glad you liked the video Taskeen!

@xdrake5755 3 года назад

3:20 ????? how?????

@syzygyofficialgaming1355 4 года назад

thank you prof

@MariosMathTutoring 4 года назад

Glad my video helped you Aizen!

@syzygyofficialgaming1355 4 года назад

Yeaahh prof, its a shortcut method.. it helps me alot.

@JC_Widmer216 2 года назад

Your shirt is inside out😀

@JC_Widmer216 2 года назад

@MoreGIGA_montyleader 9 месяцев назад

This is crazy

@omelashomelas 4 года назад

Godlike

@pierredateme3751 5 лет назад

the writings on the board are too tiny, can hardly see them but the explanation is superb.

@MariosMathTutoring 5 лет назад

Glad you liked the explanation Pierre!

@danielalacanaria8116 6 лет назад

I have a question!! The formula has equal why does when you use it, you didn’t put any equal?

@MariosMathTutoring 6 лет назад

Daniela, you certainly can write it as an equation with the equal sign.

@brandonchen317 4 года назад

Should fire my math teacher and hire you

@MariosMathTutoring 4 года назад

You can always get extra help from my videos when you need it Brandon! Glad they are helping you!

@emilyseybold4901 5 лет назад

you are great

@MariosMathTutoring 5 лет назад

Glad you like my videos Cassandra!

@faithelias2798 2 года назад

God loves you and he wants to save everyone, but in order for him to do that, you need to repent and be baptized. Also share his gospel with everyone you come in to contact with and keep his commandments 🙏🏾😘