Often the next step after learning the binomial theorem is how to quickly find a specific term without doing the whole expansion. I show how in this video: ruclips.net/video/Y32hGegCoPI/видео.html
Perfect teacher.... Like the way you teach with patience.... It's helping me a lot.... Thanks a lot sir keep uploading more and more videos.... Subscribed !
sir, you make me feel at home when i watch your videos. aside from the fact that you teach really well, you seem really nice and warm and it makes me think that this is how dads are like. i don't have a dad, but watching your videos makes me feel like i have a really cool dad who teaches me math. this may seem kinda weird, but thank you :))
I must say I got 100% on my first test thanks to you. Now I just learnt this so good from u. Tomorrow is my next test. And I'll surely be back for my final exam! Very helpful! !!!
I respect you dear sir. Unlike our teacher, you have explained how the problem works, and avoided any confusion. For making it so easy to understand, you have my respect.
Thank you so much for this video. I have my midterm tomorrow and I've been searching the internet for a video to help me figure this out. When you were doing the first example, a light went off in my brain, and it helped me understand it better!
Thanks a lot for this video . Well understood sir! It was hard when I heard through my recorded session but when I heard and jotted down what u said , I got my concepts right. THANKS A LOT SIR. MAY GOD BLESS YOU SIR
I was having so much trouble...with online learning this week I’ve been struggling to understand my teacher and I’ve been trying to figure the concepts out myself. This helped so so much and I appreciate it!!
You got lucky... I'm too taking statistics online... this was the last lesson we did and I'm lost. Even after watching this video I have no clue why he's doing the equations on the left, why it's sometimes the exponent is in ascending order then the next time it's descending... why ANYTHING. I'm so lost LOL. In all fairness to me, I'm 41 now, and a lot of this stuff is catch up and trying to remember the basics I learned in highschool. And I didn't go too far in math anyway. Stopped at Algebra ii, and Geometry ii. And then some special stuff we had to learn in chemistry class. I'll keep trucking. Scary part is, I'm only 1/3 of the way into the course. Bournelli's Trials at the end is going to be a blast!! Super simple I bet.
I’m sure you’ll be able to get it down! Sometimes it just takes a little time before you get that aha moment. Good for you for going back to improve your math skills! I know I definitely wouldn’t lol
I am happy to watch 2024. The second example here is not clear; I think it is the light. I have understood the formula. Thanks, teacher, for your clear understanding.
Hello Mario, Great video. Thank you. I have a question for you and Ide like to ask you about it. I think my professor is throwing out a trick equation. I'm gonna turn in my answer right now, even if I'm wrong...but I'm confident I'm right. Here's the question, "Explain how to use the binomial theorem to expand (3a - 7b)^n." Ide use Pascal's Triangle method...but I can't because 'n" is not a defined power. So, I am unable to introduce this equation into Pascal's triangle and work the equation. (3a - 7b) by itself is already simplified without the 'n' but in order for me to expand (3a - 7b)^n...ide have to have to have a number to replace the 'n' in order to use pascal's triangle. Therefore, the equation would be (3a - 7b)....and not (3a - 7b)^n. If anyone has any input on my explanation, please let me know. Thank you.
+Gejuanica Brock not specifically but that is what the binomial expansion theorem will do. Say for example you wanted to expand (x-y)^3. You would go down to the third row of Pascal's triangle and use as the coefficients 1, 3, 3, 1...then with the first term x you would go in descending order from 3 and ascending order with -y....so it would look like 1x^3(-y)^0 + 3x^2(-y)^1+3x^1(-y)^2+1x^0(-y)^3. The coefficients come from 3C0, 3C1, 3C2, 3C3...hope that gives you a start...
You can check out my playlist with 4 videos involving Pascal’s triangle here: Binomial Expansion & Pascal's Triangleruclips.net/p/PLHRatQsym1_gh1F_D6e8n7_rwX-FrhNvY
![I.N "HALLUCINATION" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/n5B5q1Hwt_U/mqdefault.jpg)
Often the next step after learning the binomial theorem is how to quickly find a specific term without doing the whole expansion. I show how in this video: ruclips.net/video/Y32hGegCoPI/видео.html
Mario I simply cannot express my appreciation for this video. I was struggling so hard on this one concept and you explained it impeccably. Thank you.
Your welcome! I’m so glad my video helped you! Thanks for letting me know!
Mario, I have been binging on your channel this entire semester, thank you .. I cannot express my gratitude enough.
Wow, thank you!
I've watched like a million videos on this topic and this is the first video that has actually helped me understand. Thank you so much!
You’re welcome Angelica! Glad my binomial Video helped you!
I feel completely the same way
Thanks!
I appreciate you!!!
Best explanation I’ve seen so far, I was praying for an understandable video! ✝️🤗
_same_
Bro my teacher goes so fast and you make it so simple and elegant to learn pascal triangle immense respect, thanks bro :)
Happy to help!
You're a life saver. i couldn't understand anything and look at you in 6min you got it all done!
Dude; this is amazing, it is unbelievable how you can explain something so well! Thank you!
You’re welcome! Glad my video helped you!
This is literally the only video that made this topic make sense.
You are a life saver!
THANK you VERY Much. I really appreciate this tutorial.
i needed a refresher for my upcoming test, and this was straight to the point so thank you!
I thank you for simplicity of this topic
Glad the video was helpful!
i love you
Mario'
s Math Tutoring
I love your video sir.......thank you so much
You’re welcome Samuel! Glad you like my videos!
I love you sir Mario!! thanks for the tutor 💓
No mom I'm not playing games just watching Mario
lol
Perfect teacher.... Like the way you teach with patience.... It's helping me a lot.... Thanks a lot sir keep uploading more and more videos....
Subscribed !
Welcome to the channel Manideepa! Glad you like my videos and teaching style!
I don't have words to thank you
Keep moving teacher thank you sooooo much
sir, you make me feel at home when i watch your videos. aside from the fact that you teach really well, you seem really nice and warm and it makes me think that this is how dads are like. i don't have a dad, but watching your videos makes me feel like i have a really cool dad who teaches me math. this may seem kinda weird, but thank you :))
Thank you sir, this has made me understand better. Please do more videos
Thank you!! For some reason out of all the videos I've watched, yours made my light bulb flick on! #lifesaver
Glad my video helped you Frank!
i watched 12 other 30 minute videos and this on is only 7 minutes that is crazy
Thank you Mario, you make this so simple, you are awesome
I must say I got 100% on my first test thanks to you. Now I just learnt this so good from u. Tomorrow is my next test. And I'll surely be back for my final exam! Very helpful! !!!
Awesome! Glad my videos are helping you. Check out the midterm and final exam reviews I have on my channel to help you prepare for your final...
I enjoyed watching this video. Thanks.
Glad you liked the video!
I respect you dear sir. Unlike our teacher, you have explained how the problem works, and avoided any confusion. For making it so easy to understand, you have my respect.
Glad to hear my video helped you!
thank you so much! my teacher didn't explain binomial expansion in a way that made sense to me but this video helped a ton.
Glad my video helped you Payton!
Good video Mario Sir!. Recaptulating how I struggled to understand this Binomial expansion during my college days.
Glad you liked the video Prakasam!
no intros . YAY. that what i LOVE THE MOST
Thanks Mario! My teacher showed me your channel and I subscribed and will be back for much more especially since my final exam is in a few weeks
Your welcome Romch. Welcome to the channel! I have some final exam reviews on here that you may be interested in.
And your the reason why I’m going to ace my math quiz next period😁
huge thank you to you, i FINALLY understand this topic.
You explain it so much better than most
Glad you liked my binomial expansion video!
Found another friend for my long 2 years A level carrier.Thank you so much sir for the priceless help that you are providing us.Subscribed!!
You’re welcome Asif! Welcome to the channel!
Thanks so much! You broke everything down so simply!
Your my hero
i like the waay you teach i just love your videos because i easily understand
Thank you so much!! My teacher would always confuse everyone
At 6:38
Clarification question, should the last term be -243y^5 ?
QUESTION 2, the negative 243 is it supposed to have a y to the fifth power?
Yes! Good catch Tom...you are absolutely correct!
@@MariosMathTutoring aah thank you! I thought I had finally gotten it, but then there was no 5th power! Thank you! :)
You’re welcome Josh!
Mario's Math Tutoring took my test today! your videos saved my grade! 😊
Thank you so much for this video. I have my midterm tomorrow and I've been searching the internet for a video to help me figure this out. When you were doing the first example, a light went off in my brain, and it helped me understand it better!
Thanks for letting me know Makayla! Good luck on your midterm tomorrow!
I am so delighted after understanding this lesson.thanks a lot.
Your welcome! Glad my video helped you!
Goated video ❤
Thank you Mario !!
Thank you so much, I now understand the binomial theorem. This really helped a lot!!
Thank you so so so much! Absolute lifesaver
Thank you so much 💝
you have saved my life.
Glad my video helped you Vivian!
Thank you sir, very helpful.👍😊
Thanks a lot for this video . Well understood sir! It was hard when I heard through my recorded session but when I heard and jotted down what u said , I got my concepts right. THANKS A LOT SIR. MAY GOD BLESS YOU SIR
Glad my video helped you!
your class is amusing
thanks Mario, very helpful.
Good explanation, I like it
Glad you liked the video Adam!
Is the video not yet done? The last one should have y⁵ right?
I wish you were my prof.. in just few minutes you broke everything down. thanks a lot.
Your welcome Jameel! There is many more of these videos on my channel if you need more help with your class.
What do you do if the 2nd number/term is squared so for example (3X-Y^2)^4
I enjoyed the video. Great work.
i was struggling so much on this and you explained it perfectly thank you so much!!
Thank you so much, Sir!
Most welcome!
Amazing you are the best Thanks!!
You're welcome!
Thank you so much 😊
You're welcome 😊
I was having so much trouble...with online learning this week I’ve been struggling to understand my teacher and I’ve been trying to figure the concepts out myself. This helped so so much and I appreciate it!!
You’re welcome Anastasia!
You got lucky... I'm too taking statistics online... this was the last lesson we did and I'm lost. Even after watching this video I have no clue why he's doing the equations on the left, why it's sometimes the exponent is in ascending order then the next time it's descending... why ANYTHING. I'm so lost LOL. In all fairness to me, I'm 41 now, and a lot of this stuff is catch up and trying to remember the basics I learned in highschool. And I didn't go too far in math anyway. Stopped at Algebra ii, and Geometry ii. And then some special stuff we had to learn in chemistry class. I'll keep trucking. Scary part is, I'm only 1/3 of the way into the course. Bournelli's Trials at the end is going to be a blast!! Super simple I bet.
I’m sure you’ll be able to get it down! Sometimes it just takes a little time before you get that aha moment. Good for you for going back to improve your math skills! I know I definitely wouldn’t lol
your eyebrows are good.
great video by the way 👍
Thanks Mario!
You’re welcome!
I love your lecture really helpful.Gracias Sir
You’re welcome!
THANK YOU!
I am happy to watch 2024. The second example here is not clear; I think it is the light. I have understood the formula. Thanks, teacher, for your clear understanding.
Thanks,Math exam in a few!
Your welcome! Good luck on your exam!
+Mario's Math Tutoring
9:00 it is
you're excellent
thanks a lot
never knew it before 😄
Your welcome! Glad my video helped you!
6:08 wow, way to flex on us 😭😭
ICE
Boss you rocked it
Glad you liked the video !
Could you Please make a video on how to make math videos,
excellent video!
Glad you liked the video!
You teach better than my teacher
Glad you like my teaching Mo!
Wish u were my teacher in school!!
Glad you are liking my videos Maggie!
Did the video cut short?
U ARE DA BEST!
Thanks! Glad you liked the video!
thank you!
You’re welcome Hyde!
Very helpful Sir ,,,,
Glad my video helped you Akol Deng Yel!
Goat 🐐🐐🐐🐐🐐
Thank you very much
You’re welcome!
Hello Mario,
Great video. Thank you. I have a question for you and Ide like to ask you about it. I think my professor is throwing out a trick equation. I'm gonna turn in my answer right now, even if I'm wrong...but I'm confident I'm right. Here's the question, "Explain how to use the binomial theorem to expand (3a - 7b)^n."
Ide use Pascal's Triangle method...but I can't because 'n" is not a defined power. So, I am unable to introduce this equation into Pascal's triangle and work the equation. (3a - 7b) by itself is already simplified without the 'n' but in order for me to expand (3a - 7b)^n...ide have to have to have a number to replace the 'n' in order to use pascal's triangle. Therefore, the equation would be (3a - 7b)....and not (3a - 7b)^n.
If anyone has any input on my explanation, please let me know. Thank you.
nice. thanks mr
You’re welcome Kamrul!
Hi, Mario, do you have a video on .. specific Nth term expansion bionomials. (x-y) exponet 6?
+Gejuanica Brock not specifically but that is what the binomial expansion theorem will do. Say for example you wanted to expand (x-y)^3. You would go down to the third row of Pascal's triangle and use as the coefficients 1, 3, 3, 1...then with the first term x you would go in descending order from 3 and ascending order with -y....so it would look like 1x^3(-y)^0 + 3x^2(-y)^1+3x^1(-y)^2+1x^0(-y)^3. The coefficients come from 3C0, 3C1, 3C2, 3C3...hope that gives you a start...
Ok.. Thank you!
+Gejuanica Brock your welcome...glad my videos are helping you.
Thanks
Pls can u make a video on complex numbers
Imaginary & Complex Numbers ruclips.net/p/PLHRatQsym1_hyrA1oe-lCbgLubeFwz8wX
Thanks for the effort and explanation
You’re welcome Shamma!
How can i solve it with calculator or geogebra app ?
How...how did he just do the calculations like that?!!!
thanks alot sir, but can you plz help me, i am given an assignment that want me to explain everything about Pascal's triangle.
You can check out my playlist with 4 videos involving Pascal’s triangle here:
Binomial Expansion & Pascal's Triangleruclips.net/p/PLHRatQsym1_gh1F_D6e8n7_rwX-FrhNvY
thanks Sir...
You’re welcome Pintu!
nice!
Glad you liked the video!
Modi definitely needs to watch this 😂😂
Just wow
great video
Glad you liked the video!
Awesome explanation though the video ended midway
Glad you liked the video Paul!
Please i need her help for my work 1.(a+2)(a+3) number 2.(b-3)(b-2) number 3. (x+5)(x-4).
bless
Did anybody come here because they were confused and then get more confused 😐
What the hell thank you! But what are we supposed to do when it's like to the power of 15? ;-;
Keep expanding Pascal's triangle out to the fifteenth row, and then do the same steps he did :)