Thank you Sir, almost 4decade when I’m schooled learning that pascal triangle I’m so passionated how you execute problem solving easy for us to understand . Your genius better than my teacher I always end up scratching my head.🧐
Jason I have watched many a video to grasp this concept, but none made sense like this one. Blocks of knowledge explained, then linked together to build upon the next layer, genuinely made the penny drop for me. Thank you so much. Keep it up.
Thank you, this was amazingly explained. I searched through quite a few videos and this is the only one that was understandble for me from the beginning to the end. Thank you for your work!
i love your programs, what great explanation, so clear, so good to understand and very direct to the point, not confusion, hard and boring like school.
Where is part 2 And you teach well with calmness and intention of the audience to have a clear understanding. Thank you ❤. And suggest that you should be putting suggestion for where to have the second video as the video is playing.
So glad someone took the time to explain this process it is so helpful you can do the same we thing on a calcularor using the combination function. The next thing I find helpful is the synthetic division so many people don't know this simple method for polynomils and its helpfull
Pascal's name is known in chemistry, is it true? According to me, there are four study methods. They are: 1. Focused: Here,we give importance to the specific details ie fabric of concepts. 2. Rapid: Here, we cover a large material with a time constraint,an abstract form of study; likely to be stressful. 3. Random: An arbitrary form of study,not a systematic one; more likely forget what we study. 4. Relaxed: Here we study with our own phase,no tension,no time limit. It helps us to assess our progress and for self introspection.
There is so much information contained within The Binomial Theorem and Pascal`s Traingle as a composite. I don`t pretend to know half of it. But what part I do know makes me want to know more of it.
Very useful information you have provided. Thank you very much sir. Pascal's Triangle really helps to understand simple algebraic equations and binomial expansion.
This your video made me to click that subscribe button It's not like all those videos where they keep directing you to watch this and that This was straight forward Am great full
Excellent and thorough video with perfect diction; a dream to watch and understand! Have you completed Part 2 yet - I couldn't locate it in your play lists? Cheers from downunder.
Hi, My program (in java) is throwing this error, can you help? Customer.java:108: error: invalid method declaration; return type required customer(String firstNameIn, String lastNameIn){ ^ 1 error
For example using the number 17 he keeps mentioning, it is easily 1a^17, 17a^16b, 153a^15b^2.. and so on | also the numbers in the back also have a pattern that is easily measurable if you remember how to add numbers continuously. so 153 is 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17.
Can you show us the solutions for polynomials, like ax4+bx3+cx2+dx+e=0 and even higher roots? I wonder what the solutions for these types are, for example: solve ax7+bx6+cx5+dx4+ex3+fx2+gx+h=0 etc.
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AFTER SEARCHING FOR HOURS.....finally a descent video about the pascal triangle :)
Descent is an understatement
I learned all of algebra 1 from Jason. Best teacher online. About to start algebra 2
This is brillant! Skill´s to teach its only the reach for a few! I wish i could had a teacher like you in math´s , when i needed 30 years ago.
The lecture is fantastic!!! Kudos to you Sir. I learnt this back in 1980 at SPS, Kano. Nigeria. However, the lectures really refresh my memory.
Bcz of this video I’m gonna hit the subscribe button and the BELL so that I can see any video of him, it’s really nice and easy.
Thank you Sir, almost 4decade when I’m schooled learning that pascal triangle I’m so passionated how you execute problem solving easy for us to understand . Your genius better than my teacher I always end up scratching my head.🧐
Why do you make b=1
Jason I have watched many a video to grasp this concept, but none made sense like this one. Blocks of knowledge explained, then linked together to build upon the next layer, genuinely made the penny drop for me.
Thank you so much. Keep it up.
Thank you so much! Jason
Thank you, this was amazingly explained. I searched through quite a few videos and this is the only one that was understandble for me from the beginning to the end. Thank you for your work!
Thank you! I was looking for an example with subtraction! I’m glad you did (c-d)^5
i love your programs, what great explanation, so clear, so good to understand and very direct to the point, not confusion, hard and boring like school.
Math is just so beautiful. Everything always just comes together
... When you have the right teacher😂
After all those explanations and details, there is NO excuse for not being able to understand Pascal's Triangle!
Awesome! Thank you!
I have a maths exam today which I can't review everything today before 7 am ..but this guy made everything simple .👏
Where is part 2
And you teach well with calmness and intention of the audience to have a clear understanding. Thank you ❤.
And suggest that you should be putting suggestion for where to have the second video as the video is playing.
I believe it's 23-The Binomial Theorem & Binomial Expansion Part-1 .
one of the best teacher
Man you are too good. I wish I knew this concept earlier.
Thanks so much!
Best explanation ever... not even gonna watch another video, thank you so much 🙏
So glad someone took the time to explain this process it is so helpful you can do the same we thing on a calcularor using the combination function. The next thing I find helpful is the synthetic division so many people don't know this simple method for polynomils and its helpfull
Pascal's name is known in chemistry, is it true?
According to me, there are four study methods. They are:
1. Focused: Here,we give importance to the specific details ie fabric of concepts.
2. Rapid: Here, we cover a large material with a time constraint,an abstract form of study; likely to be stressful.
3. Random: An arbitrary form of study,not a systematic one; more likely forget what we study.
4. Relaxed: Here we study with our own phase,no tension,no time limit. It helps us to assess our progress and for self introspection.
Yes!
Thank you for taking time to explain this clearly !
So much easier than other explanations I’ve seen on TH-cam
Quick , Smart , Effective and Highly Recommended!!!
This video was superb plus really useful.........great teacher and great job ........thnx alot sir....................
This is perfect, thank you!
There is so much information contained within The Binomial Theorem and Pascal`s Traingle as a composite. I don`t pretend to know half of it. But what part I do know makes me want to know more of it.
This was soooo clear that an 8 year old could comprehend it! Thank you so very much!
It's really a lesson of interest
Very useful information you have provided. Thank you very much sir. Pascal's Triangle really helps to understand simple algebraic equations and binomial expansion.
This your video made me to click that subscribe button
It's not like all those videos where they keep directing you to watch this and that
This was straight forward
Am great full
I just subscribe because you deserve it and you're so good at explaining how answer will shown
God bless you for your good heart when you come to teaching you are the best god bless you more
thank you very much your videos help me to understand geometric series and other mathematics topics.
Best explanation I haven't learnt this in class but I am understanding
I am not graduate , but I understand this. Too good. Superb
Thankyou for the every details you did. I hope you do more every each parts of the details
Salute for the way you teach
you are an excellent teacher.
Thank you! 😃
Fantastic presentation
You are great great teacher ..God bless you
Sir. Please I want to understand this question.
Find n if the coefficient of x³ and x⁴ in the expansion of (2+x) to power of n are in the ratio 4:11
This man is amazing!
i love it ! you are very patient in teaching!! Kudos, Sir!
Thank you for teaching me this you thought me well
Wow Thank You for teaching this in a very easy to understand way
Excellent and thorough video with perfect diction; a dream to watch and understand! Have you completed Part 2 yet - I couldn't locate it in your play lists? Cheers from downunder.
Excellent explanation👏
great explanation.thank you so much.also,i really need help with statistics.but some of your videos are incomplete.can we pls have it on youtube???
I swear I don't know what to say, thank you so much sir 😊😊
Wow this was really helpful
Great explanation😊✊
Excellent. Not less than being called a GENIUS!!!
Thank you so much 🙏 I understand it well
You're just a genius
Really helpful.
This is just so great
Thank God for you ❤,
You're the greatest ✅✅
wonderful! I'm really getting how to use Pascal's Triangle!!!
How do you know the coefficients without drawing the triangle
you are a legend
THANK YOU... SIR...!!!
THE GREAT TEACHER...!!!
Thank you, sir❤
Hi, My program (in java) is throwing this error, can you help?
Customer.java:108: error: invalid method declaration; return type required
customer(String firstNameIn, String lastNameIn){
^
1 error
Sir you have discuss this in very simple way thank you sir
Please sir how many rows has the pascal triangle get Limited
Thank you sir for mtc
What of plumbing science
Thanks sir may Allah bless you ❤❤❤❤
Excellent clear presentation thanks
Thank you for your obvious explanations !
wowwww ,,,,,you are so amazing,,,,,an excellent delivery
i was just searching how to code a program to print a pascal's triangle. But now that I know what a pascal triangle is.
My mind is blown
Sir what if the first term from the expansion has coefficient
GREAT VIDEO MAN. Thanks very much.
Thank you so much for this lesson
This uses what i remember as the reverse rainbow of addition, 5 is known as 5+0, 4+1, 3+2, 2+3, 1+4, and 0+5, use that for all powers.
For example using the number 17 he keeps mentioning, it is easily 1a^17, 17a^16b, 153a^15b^2.. and so on | also the numbers in the back also have a pattern that is easily measurable if you remember how to add numbers continuously. so 153 is 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17.
Just Absolutely Amazing
Very impressive
Thank you so much.. you win my heart☺️
Boss thanks. You really helped here
Thank you so much
Sir u are awesome
Perfect teaching !!!
Nice even my math teachers didn't do this well thanks
Thanks very much
Thank you
Can you show us the solutions for polynomials, like ax4+bx3+cx2+dx+e=0 and even higher roots? I wonder what the solutions for these types are, for example: solve ax7+bx6+cx5+dx4+ex3+fx2+gx+h=0 etc.
great explanation, thank you!
What if its to the power 16 or more?....and if we have numbers and fractions in brakets
For the odd rows all the numbers were multiples or the row number, but that didnt happen to the even ones... Why is that ?
It’s been great since I come across your channel thanks but I will like you to explain with questions like (1+2x)^5. ^5=minus 5
Hope you got help. But this will go till infinity unless you've been given the number of terms to expand to. Eg expand to the 3rd term.
Thanks alot sir
Please I need the part 2
Good skills knowledge
Please I want to know the first principal
Thanks, you are the best
Pascal was sure a genius, and very intelligent person.
Awesome!
Jason, MathAndScience.com
But how can I be remember the numbers of the row 19,23😇😇
will you cover partial fraction ?
Yes in the future!
This was helpful 👏👏
thanks
im looking for part 2 but i not found it
Thank you Sir you help me so much. Sir put your latest video on the app hehe
As soon as possible