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: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Y32hGegCoPI.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 !
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.
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! !!!
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 :))
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.
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 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.
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
You can check out my playlist with 4 videos involving Pascal’s triangle here: Binomial Expansion & Pascal's Triangleru-vid.com/group/PLHRatQsym1_gh1F_D6e8n7_rwX-FrhNvY
+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...
