21 - Pascals Triangle & Binomial Expansion - Part 1

[@misumkhan]

AFTER SEARCHING FOR HOURS.....finally a descent video about the pascal triangle :)

[@victoriamunamwape1532]

Descent is an understatement

[@shannonmcdonald7584]

I learned all of algebra 1 from Jason. Best teacher online. About to start algebra 2

[@ayushchavan2741]

Celebrate my friend. Your hours of hardwork has finally paid off🎉😅😅

[@neilcalara]

You saved my life with this fantastic class, thank you from Brazil!

[@MuhyideenHGiwa]

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.

[@JoaoSilva-bc7jc]

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.

[@Pakka0007]

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.

[@MathAndScience]

Thank you so much! Jason

[@MrDrgonlord]

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!

[@albensonenriquez7483]

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.🧐

[@stephenchikodilinus8392]

Why do you make b=1

[@dewa5483]

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.

[@awsomejasmain8627]

Best explanation ever... not even gonna watch another video, thank you so much 🙏

[@universeunlimited1763]

Math is just so beautiful. Everything always just comes together

[@awsomejasmain8627]

... When you have the right teacher😂

[@jerrymyron3920]

I have a maths exam today which I can't review everything today before 7 am ..but this guy made everything simple .👏

[@everglade7764]

Thank you! I was looking for an example with subtraction! I’m glad you did (c-d)^5

[@PreciousSitengu]

Best explanation I haven't learnt this in class but I am understanding

[@hemarajue2736]

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.

[@MathAndScience]

Yes!

[@nm1978]

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.

[@דוידאללוףשרון]

תודה!

[@MathAndScience]

Thank you so much!

[@katlegomotube3811]

So much easier than other explanations I’ve seen on KZbin

[@bhaktathapa263]

Very useful information you have provided. Thank you very much sir. Pascal's Triangle really helps to understand simple algebraic equations and binomial expansion.

[@juniyasteffi3790]

This video was superb plus really useful.........great teacher and great job ........thnx alot sir....................

[@kinleyzam7640]

one of the best teacher

[@jojohn3865]

Thank you for taking time to explain this clearly !

[@planetperspex8943]

It's really a lesson of interest

[@JudithChibuye-w6b]

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.

[@AchieverAttitude]

I believe it's 23-The Binomial Theorem & Binomial Expansion Part-1 .

[@theodoresweger4948]

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

[@Sai-tek]

Man you are too good. I wish I knew this concept earlier.

[@MathAndScience]

Thanks so much!

[@SB-pq9dd]

After all those explanations and details, there is NO excuse for not being able to understand Pascal's Triangle!

[@MathAndScience]

Awesome! Thank you!

[@borahaeffs8634]

True 😂

[@awhenpeter3669]

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

[@shelumielvenatius681]

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

[@JacobAgbemazi]

God bless you for your good heart when you come to teaching you are the best god bless you more

[@lungelozain3100]

Quick , Smart , Effective and Highly Recommended!!!

[@tanangang7864]

you are an excellent teacher.

[@MathAndScience]

Thank you! 😃

[@4everThoughtful]

This was soooo clear that an 8 year old could comprehend it! Thank you so very much!

[@dogwithwigwamz.7320]

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.

[@DumsaniNdlovu-f5b]

Fantastic presentation

[@mosama22]

I swear I don't know what to say, thank you so much sir 😊😊

[@EmmanuelAnsahObeng]

thank you very much your videos help me to understand geometric series and other mathematics topics.

[@MuhammadFarhan-ny7tj]

You are great great teacher ..God bless you

[@mousumimishra412]

Excellent explanation👏

[@diceiii2519]

I just subscribe because you deserve it and you're so good at explaining how answer will shown

[@oridinaryoneofu]

I am not graduate , but I understand this. Too good. Superb

[@1Trenvhkiddukx]

Thanks sir may Allah bless you ❤❤❤❤

[@mitikuamanumesele3975]

wowwww ,,,,,you are so amazing,,,,,an excellent delivery

[@tresajessygeorge210]

THANK YOU... SIR...!!! THE GREAT TEACHER...!!!

[@koyavenkateswararao6976]

Salute for the way you teach

[@joanaranquepablo6929]

i love it ! you are very patient in teaching!! Kudos, Sir!

[@giovanny8389]

This is perfect, thank you!

[@tumusiimemethodius]

Thank you sir for mtc What of plumbing science

[@JoyceChihana-d6q]

Great explanation😊✊

[@SalisuAbdulhamid-ln7yu]

Thanks sir u will be richer than elon musk ❤❤❤ very brilliant ex

[@diceiii2519]

Thankyou for the every details you did. I hope you do more every each parts of the details

[@bassemshraydeh8865]

Excellent clear presentation thanks

[@raresmarginean9033]

This man is amazing!

[@marronmusonda-hz8nz]

You're the greatest ✅✅

[@sengkathirparri9311]

Wow Thank You for teaching this in a very easy to understand way

[@elohorolokpa]

You're just a genius

[@afloewisdom2858]

Excellent. Not less than being called a GENIUS!!!

[@rethabilephoofolo]

Wow this was really helpful

[@ozgemmo3445]

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.

[@sylviaanang3461]

Thank you for teaching me this you thought me well

[@joylynnpoppyruin3186]

Thank God for you ❤,

[@thesic1241]

Sir u are awesome Perfect teaching !!!

[@ouardi-b2y]

thank you so much your explanations it's pretty cool

[@prashantmaurya2289]

Sir you have discuss this in very simple way thank you sir

[@Churchof-JesusChrist.]

GREAT VIDEO MAN. Thanks very much.

[@lnum237]

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???

[@princeabimana9537]

wonderful! I'm really getting how to use Pascal's Triangle!!!

[@colewilkie]

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

[@fordjourmichael4796]

Thank you for your obvious explanations !

[@sarahzareen397]

Thank you so much.. you win my heart☺️

[@vusumuzidawoodkhumalo6794]

Thank you so much for this lesson

[@meronnigusu]

Thank you so much 🙏 I understand it well

[@naemanandreas4008]

Boss thanks. You really helped here

[@dajo3032]

Just Absolutely Amazing

[@johndonne2181]

will you cover partial fraction ?

[@MathAndScience]

Yes in the future!

[@mohammadfarhat3933]

you are a legend

[@IdrissmLahai]

Thank you, sir❤

[@JusticeChijioke-hh4jg]

This is just so great

[@Boomer129]

Really helpful.

[@Aycore2011]

You sir are a god

[@blazeyt507]

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.

[@blazeyt507]

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.

[@peaceyya2181]

this video was so helpfulll

[@sampandoogdaniel9468]

Please sir how many rows has the pascal triangle get Limited

[@oluwaseunabiola7271]

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

[@jephphto4414]

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.

[@sheriyjhon513]

Nice even my math teachers didn't do this well thanks

[@jerodanmatheus5865]

This was helpful 👏👏

[@joslinbright4971]

Very impressive

[@GeorgiosMichalopoulos]

great explanation, thank you!

[@GideonBoateng-j3z]

How do you know the coefficients without drawing the triangle

[@saxena3718]

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

[@nm1978]

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.

[@sostheneshamamba3486]

Thanks, you are the best

[@SudanMut]

Sir what if the first term from the expansion has coefficient

[@natashabwalya1995]

Thank you so much

[@nm1978]

Pascal was sure a genius, and very intelligent person.

[@MathAndScience]

Awesome! Jason, MathAndScience.com

[@anukritisporsho3346]

What if its to the power 16 or more?....and if we have numbers and fractions in brakets

[@tiffanystewart2600]

very well done

[@samuelobeng2054]

Please I need the part 2

[@martinagyei4559]

Thanks very much

[@louielasquite6420]

Thank you Sir you help me so much. Sir put your latest video on the app hehe

[@MathAndScience]

As soon as possible

[@youcanteachthem]

Thank you