This tutorial has really helped me, thanks very much sir. And please, when less busy help us with examples of such problems involving fractions 👏👏 once again thanks
Great job sir and ur presentation by the way is spectacular but I'm afraid i have to make just one correction in the last question i think the answer is suppose to be - 32x^5
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This is one of the best, clear and simple explanation videos I've found on binomial expansion
He simply just broke it down to my understanding.perfect,keep making more videos for maths problems.Its helping me alot in my studies😀
I like how organised your approach is. Very neat ❤❤❤
One of my favorites 💐💐 keep up the good work
Thank you 🙏
Wonderful presentation keep it up sir 👏🏻
Thank you
Thank you for understandable expression.
Welcome 😊
This has really helped me a lot, Thank you.
Thank you very much Sir. Your videos have helped me a lot. God bless you❤
This tutorial has really helped me, thanks very much sir.
And please, when less busy help us with examples of such problems involving fractions 👏👏 once again thanks
Thanks a lot for clearing my doubt❤❤
God bless u made this topic simply for me thank u a lot 🤲
very very helpful, thank you sir
🙏🙏
Great job sir and ur presentation by the way is spectacular but I'm afraid i have to make just one correction in the last question i think the answer is suppose to be - 32x^5
Nice, I sure got value from this.
More wisdom
Thanks 😮 keep your good work
thank you so much sir you’re amazing
i have homework due in two hours you just saved my life
Sure, it helps me alot.
Thanks sir this I s a great job
Nice presentation, sir
Thank you 🙏
keep going bro , thank for your help
this help me so much thank youuu
👍👍👍
U are a genius
thank you god bless
Atleast am able to understand I used to have difficulties
Sa'aatii nuuf dheeressaa maaloo
How about expand (1+2\x)^1\2. Upto the term in x^3
😊this was so helpful thank you so much
Thankyou so much Sir.... You are doing a great job. Keep going..... 💐💐
🙏🙏
Thank a lot
Perfect
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Thank you
Thank you ❤
In this question 3, why did r become 3. Why?
How did you find r.
Where?
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Why is r=0 in that first term??
1-1=0
1st term means T1 which is Tr+1 so T1+0=1 whuch ia T1 here r =0
Thanks but I didn't get how you find r
R = the term subtracted by 1
So if its the third term R= 3-1 = 2
thankyouuu sir!💛💛
Why is r = r-1
counting up from 0 in this case which would make it one less
The solving on last term is not correct, r is supposed to be 2, r= 0,1,2
I was also confused but then i remembered that it is from 0 to n ie. 0,1,2,3
Are u trying to say that after expanding that bracket, the last term will have a power of 2?
Last term means nCn where n=r so he is correct
Thanks sir this help me alot🫡♥️
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can someone explain 2:49
He used combination formula. nCr = n!/(n-r)!r!
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The solving on last term is not correct, r is supposed to be 2, r= 0,1,2
I was also confused but then i remembered that it is from 0 to n ie. 0,1,2,3
It is because we took the last term as n-1 which should be n
Like how is r supposed to be 2 in the last one? He is very correct.
Try the direct expansion and see if you don't get the same answer with his.