Binomial Expansion Find a Specific Term

Рет қаралды 244,062

6 жыл бұрын

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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Пікірлер: 151

@MariosMathTutoring 5 жыл бұрын

Like this video? See another example where you solve just for the coefficient of a term in the binomial expansion here: kzfaq.info/get/bejne/jradpdmDzrrWpas.html

@asiimwejonathan778 3 жыл бұрын

If possible send me a video reason sir

@valentinatran8554 4 жыл бұрын

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

@MariosMathTutoring 4 жыл бұрын

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

@caramelmacchiato9193 4 жыл бұрын

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 жыл бұрын

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

@joannekangalee3281 4 жыл бұрын

It's ridiculous how easy he makes this

@MariosMathTutoring 4 жыл бұрын

Glad my video made this easier for you!

@samhoward8909 2 жыл бұрын

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

@colebirmingham7233 4 жыл бұрын

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

@MariosMathTutoring 4 жыл бұрын

Awesome! Glad my video helped you Cole!

@kenedi987 2 жыл бұрын

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!!!

@hosanajirehsupilanas4709 3 жыл бұрын

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

@Ash-bf3qx 4 жыл бұрын

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

@MariosMathTutoring 4 жыл бұрын

You’re welcome! Glad my video helped you!

@constellsty6713 3 ай бұрын

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

@MariosMathTutoring 3 ай бұрын

Glad it helped!

@BentHestad Жыл бұрын

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

@urbanexplorer6783 2 жыл бұрын

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

@amnaimran8159 Жыл бұрын

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

@keagan5379 3 жыл бұрын

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

@charlespurcell5497 4 жыл бұрын

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

@MariosMathTutoring 4 жыл бұрын

Awesome! Glad my videos are helping you Charles!

@SW-2010 2 жыл бұрын

This video was perfect. Thank you.

@user-ue7gq8td9k 10 ай бұрын

Mario - Simply the best

@feabambinamarquez Жыл бұрын

Thank you from the Philippines!

@shinryujin7806 4 жыл бұрын

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

@MariosMathTutoring 4 жыл бұрын

You’re welcome Shin!

@ml-qc6wb 3 жыл бұрын

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

@tharaniikumarvelu6013 3 жыл бұрын

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

@clairenime Жыл бұрын

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

@ravikishayari1486 3 жыл бұрын

Thank you very much for videos 😊

@xxRafaelProductions 2 жыл бұрын

Better than my math teacher, thanks for the help

@juunejun 8 ай бұрын

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

@mawruzz Жыл бұрын

Thank you so much :)

@ronielomayan5960 Жыл бұрын

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

@BensleyEWale 3 жыл бұрын

Thanks I really learn a lot from your vedios

@premk432 Жыл бұрын

Your method is just like my favourite teacher 👍🏿❤️

@EmrysEveningstar 5 жыл бұрын

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

@MariosMathTutoring 5 жыл бұрын

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

@EmrysEveningstar 5 жыл бұрын

Update: We Won 😍

@MariosMathTutoring 5 жыл бұрын

Awesome! Congratulations!

@tomatoshoes6118 4 жыл бұрын

This was helpful. Thank you! 🙏

@MariosMathTutoring 4 жыл бұрын

You’re welcome Angel!

@tomiwafakola3849 3 жыл бұрын

Protect this man at all cost.

@gangel7372 Жыл бұрын

@Rejoicemurau Жыл бұрын

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

@hshhdhs839 2 жыл бұрын

THE BEST ♥️

@Afrojack278 5 жыл бұрын

thanks for the help sir !!!

@MariosMathTutoring 5 жыл бұрын

Glad my video helped you Jefri!

@yulianaibarra9948 4 жыл бұрын

Sir you just SAVED MY LIFE NO JOKE ILYSM

@MariosMathTutoring 4 жыл бұрын

Glad my video helped you Yuli!

@logasivaguru8708 4 жыл бұрын

Watching this real worth thanks

@MariosMathTutoring 4 жыл бұрын

Glad you liked the video!

@dieaking_07 3 жыл бұрын

You're Good👍'nd Thank You!

@christiang.rabino654 4 жыл бұрын

thank you very much, simple and direct explanatio

@MariosMathTutoring 4 жыл бұрын

You’re welcome Christian!

@asharenji5551 4 жыл бұрын

its amazing btw

@audreequisan4675 2 жыл бұрын

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

@themadirish8202 2 жыл бұрын

Thanks

@kofiosei-tutu5436 4 жыл бұрын

Sir, please start solving o level additional maths past questions

@applequestionsexplained5980 10 ай бұрын

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

@MariosMathTutoring 10 ай бұрын

Glad it helped!

@sktajmohammed8924 3 жыл бұрын

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

@MariosMathTutoring 3 жыл бұрын

Glad my video helped you!

@itsbibs7714 2 жыл бұрын

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

@ryan_17kosh8 4 жыл бұрын

Thank you man

@MariosMathTutoring 4 жыл бұрын

You’re welcome Ryan!

@victorialira7879 5 жыл бұрын

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

@MariosMathTutoring 5 жыл бұрын

The process would be the same...

@berk_pulluoglu273 4 жыл бұрын

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 4 жыл бұрын

Glad you like my videos! I think this is the video you are looking for: Binomial Expansion Theorem kzfaq.info/get/bejne/l9CRdM5iqLaZoKs.html

@ruelzuluetayeye8437 6 жыл бұрын

Thanks Sir

@MariosMathTutoring 6 жыл бұрын

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

@nirmalwalliwatta283 2 жыл бұрын

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

@ericpark462 4 ай бұрын

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

@MariosMathTutoring 4 ай бұрын

Glad I could help!

@joshuaemmanueldigon5584 4 жыл бұрын

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

@MariosMathTutoring 4 жыл бұрын

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

@joshuaemmanueldigon5584 4 жыл бұрын

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! 🙂

@omelashomelas 4 жыл бұрын

Godlike

@walinut6443 3 жыл бұрын

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

@nuraishah9681 3 жыл бұрын

yep take after C. for example at 1:30

@ahmethtumbuur2720 2 жыл бұрын

Thanks

@taskeenmirza6790 4 жыл бұрын

Amazing.....👍👍

@MariosMathTutoring 4 жыл бұрын

Glad you liked the video Taskeen!

@EverchangingU 5 жыл бұрын

you’re awesome thank you!

@MariosMathTutoring 5 жыл бұрын

Glad you liked the video Jon!

@primarion8598 4 жыл бұрын

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

@MariosMathTutoring 4 жыл бұрын

Welcome to the channel! Glad you like my videos!

@estherine4051 4 жыл бұрын

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

@rainierderryl2230 4 жыл бұрын

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.

@sunketz 3 жыл бұрын

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 3 жыл бұрын

Treat the y like you would an x.

@vedbadukale988 2 жыл бұрын

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

@lockieroo6934 5 жыл бұрын

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 4 жыл бұрын

negative exponents?

@sujeewa8067 2 жыл бұрын

Thank you so much! btw you look so familiar

@asharenji5551 4 жыл бұрын

Is this useful for cambridge AS and A levels

@MariosMathTutoring 4 жыл бұрын

Asha, I’m not familiar with those....

@kankrumm7826 2 жыл бұрын

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

@syzygyofficialgaming1355 4 жыл бұрын

thank you prof

@MariosMathTutoring 4 жыл бұрын

Glad my video helped you Aizen!

@syzygyofficialgaming1355 4 жыл бұрын

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

@teruelryanpaul 4 жыл бұрын

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 жыл бұрын

Ryan, check out this other video I did on the binomial theorem it may be able to help you more... Binomial Expansion Theorem kzfaq.info/get/bejne/l9CRdM5iqLaZoKs.html

@teruelryanpaul 4 жыл бұрын

sure, thanks !

@purplelight4444 4 жыл бұрын

thx

@MariosMathTutoring 4 жыл бұрын

You’re welcome Maxim!

@emilyseybold4901 5 жыл бұрын

you are great

@MariosMathTutoring 5 жыл бұрын

Glad you like my videos Cassandra!

@MoreGIGA_montyleader 7 ай бұрын

This is crazy

@tamarao.7197 2 жыл бұрын

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

@mjruizsalvador7663 2 жыл бұрын

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

@s1lvur 3 жыл бұрын

Johny Sins of the math world

@danielalacanaria8116 5 жыл бұрын

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

@MariosMathTutoring 5 жыл бұрын

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

@teacher.prashantdubeyforma5142 6 жыл бұрын

great job there again

@xdrake5755 2 жыл бұрын

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

@pierredateme3751 4 жыл бұрын

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

@MariosMathTutoring 4 жыл бұрын

Glad you liked the explanation Pierre!

@magicdolphin3090 3 жыл бұрын

My review literally has that same problem lol

@JC_Widmer216 Жыл бұрын

Your shirt is inside out😀

@JC_Widmer216 Жыл бұрын

@br.john.church.6837 5 жыл бұрын

Great

@MariosMathTutoring 5 жыл бұрын

Glad you liked the video!

@brandonchen317 4 жыл бұрын

Should fire my math teacher and hire you

@MariosMathTutoring 4 жыл бұрын

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

@sohamg1876 3 жыл бұрын

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

@MariosMathTutoring 3 жыл бұрын

Glad my video helped Soham!

@xdrake5755 2 жыл бұрын

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

@Hindi_movies.07 2 жыл бұрын

He looks like Jhonny Sins 😁😁😁

@just_willow 4 жыл бұрын

If only I had authority to fire my lecture

@brilliantmindscholars57 4 жыл бұрын

Naruto fan....... I love naruto too

@just_willow 4 жыл бұрын

@@brilliantmindscholars57 if only I could wipe memory and watch it again then repeat the process 🥺🥺😁

@mpho438 4 жыл бұрын

I came because of the thumbnail, just to check if this an actual human not a robot. Okay bye.

@reddarkredx2390 Жыл бұрын

Honestly learning math is extremely hard, it would be better to do it with a person.

@Jesus-eb9ho 2 жыл бұрын

Hey aren't you that teacher, doctor, plumber guy...

@bsme1-a-ahoninouieisaac295 3 жыл бұрын

i think 9C6=84, not 64 hehe

@faithelias2798 2 жыл бұрын

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 🙏🏾😘

@ClickFlint 7 ай бұрын

Huh