Just watching this and I can testify that the lesson has been taught by you in a very comprehensive and understandable way for people to understand well. Thanks so much
Pls can u enlighten me on the binomial expansion formula. The first one u applied the binomial expansion to has a +ve sign while d one u gave has a -ve sign could u pls explain how to go about it
Just watching this and I can testify that the lesson has been taught by you in a very comprehensive and understandable way for people to understand well. Thanks so much
Awesome. Glad to hear
Staff tech faces
I love how your videos are always composed❤
@@adorer_31 thank you so much 💙
Best tutor on CZcams❤❤❤❤
Thanks bro
Always welcomed
Thank you very much for the explanation Sir,very comprehensive and explanatory,my answer is
4+3i/(1-i)³=-1/4-7/4i
Awesome. Welldone 👍👍👍
@@jonahemmanuelofficialomo😢 I don't know what I'm getting wrong, I'm getting the same answer but my i is on 1/4
My answer is 7/4+1/4 i😢
@@jonahemmanuelofficialI'm a new subscriber from Nigeria
my answer is -7/4+1/4i
Am I correct?
The lecture is really interesting... I've learnt a lot . thanks for detailed explanation
Always welcomed
Glad to hear
Sir, thank you for the explanation, very clear, all the way from Uganda. here is my answer: -2/8 +14i/8. hope i did well
Awesome... Reduce it to lowest term, Welldone.
I got the same but simplified by dividing by 2...
Thanks 😊
Mr Jonah you are such a good lecturer and teacher at the same time
This is the best explanation I have ever had 🎉 thank you sir🎉
Awesome.
Glad to hear.
👍👍👍👍
You're a star sir. From South Africa 👏👏👏👏🤝🤝🙏🏻
Your the best from Cameroon thanks sir . Your students are very happy to have you sir 😊
Awesome. Glad to have you here.
Can communicate please
Can communicate please
@@Derrobe 🙏
Thanks for uo best explanation... enjoying from Kampala Uganda 🇺🇬
Awesome. Happy to hear 🙏🏻
Mr Jonah you are such a good lecturer and teacher at the same time ❤
Thank you very much sir i have learned a lot of this lesson
My own answer is -2-14i/8
Awesome. Glad to hear.
Reduce to the lowest term
You are more then my lecture sir .thank you 🎉
Thank you so much 👍
VERY CLEAR RIGHT FROM LIRA CITY, UGANDA
Awesome.
Glad to have you here.
Thanks Sir 🙏
My Ans:
-2. 14
---- - ------
8. 8
Awesome. Welldone 👍
Thanks so much sir for your detailed explanation
Awesome.
You're welcome.
I didn't get the link pls
I wished i had watched this video before i had my impromptu test on division of complex numbers
Well detailed and explanatory.. God bless you sir🙏🏾
Always welcomed 👍👍
WOW u really did it well, a job well done for u hard work and effort
Awesome.
Great to hear.
😮we really appreciate you sir 🎉🎉🎉
Always welcomed. 👍
Thank you for an amazing lesson all the way from Lusaka Zambia
Amazing, thank you
From Port Harcourt, Nigeria
love your video so much, pls don't stop making videos . and also the link you said you will put how to calculate it with calculator
It's not ready yet, when it is, I'll post
Very nice video 🔥🔥🔥🔥
I got -20/16 + 10/16 i
@@charityraphael7382 reduce to lowest term
@@jonahemmanuelofficial alright sir thanks
I got -10/8 + 5/8 i
Thank u and my answer was-2/8 -14/8!
Lowest term?
I like your teaching boss, but we need more topics on math. I'm a university student, 100lvl
👍
Your explanations are usually crystal clear, keep it up... ❤❤
Thank you so much 🙏🙏🙏
You are the best tutor ever
Thank you so much 👍 💓
You are a life saver, Thank you so much
Awesome.
Glad to hear 🙏🏻👍👍👍
Wow this really fascinating, it helped a lot thank you sir.
Always welcomed
This was really helpful i learnt enough thanks sir💯🙏
NICE EXPLANATION FROM..... NAIROBI KENYA
Awesome. Thank you. Greetings from Nigeria 👍
Best lecturer
Thank you sir,I really enjoy your teaching 🙏🙏🙏
Awesome, glad to hear 👍👍
Thanks very much Sir for your help
Always welcomed
Thanks for your astute teaching
Always welcomed 🙂
This has helped me thank you sir
Always welcomed.
thank you so much for the good lesson well delivered
Awesome. Glad to hear
-2-14i/8
Thank you so much for making me understand this...
Awesome. Reduce to lowest term
Very educative lesson. Please, check the (1+i)^3 binomial expansion. On the i^3, why did you find -i instead of -1? Thank you
Glad to hear.
i³ = i × i × i
i × i = -1
-1 × i = -i
You're doing a lot sir
Thank you so much
Always welcomed 😊
Thank you Sir
Welcomed! 🙂
Hi sir, thank you for the comprehensive lesson. I got 1/2 +7/2 i
Well-done 👍👍
Is it correct sir??
Just wow
Easy to understand
Awesome. Happy to hear
Thank u sir for the lectures but what I got is 10/20+20/20i
reducing to the lowest
1/2+i how about it sir
@@teryilaemmanuel7078 awesome. Welldone 👍
The answer to the last question is -14/8 +2/8i
Reduce to the lowest term
@@jonahemmanuelofficial So if I reduce it to the lowest term, the answer should be -7/4 +1/4i
The best tutor🔥🔥
thankyou so much ....my answer is minus 2/8 minus 14i/8
Welldone
Pls can u enlighten me on the binomial expansion formula.
The first one u applied the binomial expansion to has a +ve sign while d one u gave has a -ve sign could u pls explain how to go about it
Already covered binomial expansion on this channel, do well to search it out.
@@jonahemmanuelofficial okay.
Thanks
@@jonahemmanuelofficial can u also explain that of arithmetic operations on complex no. In Cartesian and polar form
Detailed explanation tanks❤
Awesome. Glad you understood
Tnx sir🙏
It's well understood
Awesome. Glad to hear
Thanks. For the Efforts Class was kawa
Great.....!!!
-1/4 +7i/4
Awesome.
Welldone. 👍👍👍
Thanks I'm from Rwanda🇷🇼🇷🇼🇷🇼🇷🇼
Welcomed
-2/0 -14/0i
Welldone, try again, denominator can't be negative, it would be an infinite answer
This is the best
Great...!!!!
Thank you so much
thank you so much
Always welcomed
Keep up the good work
Surely. Thanks
Best explaination I have ever hard 🎉thank u sir
Always welcomed 👍👍
Very clear all the way from lusaka Zambia
Awesome. Glad to hear
My city
@@Givenhanchabalika wow
Weeds DT of hhfhgg
Sir, when I tried it I got
-7/4 + (1/4)i
Pls correct me where I made mistakes 🙏
Welldone .
@@jonahemmanuelofficial thanks Sir. But am I correct?
@@jonahemmanuelofficial
Thanks sir😊
Always welcomed.
Thank you sirrr
Always welcomed.
Tr thanks.
Always welcomed 👍
Nice video sir all the way from SA ❤️
Awesome.
Thank you
So so so interesting 🎉🎉🎉
Thank you
Wow thank u sir
Always welcomed 👍
Thanks alot it really helped❤❤🙏🙏
Awesome. Glad to hear ,👍👍👍
Thank you my answer is -2/8 -14/8i Or -1/4 -7/4i
Awesome... Welldone 👍
Nice explanation
Great...!!!!
Sir, please the link on how to slove the algebraic complex number by using calculator
Not available yet, will make
Well presented
Thank you
My answer is -7/4 +2i/8
I need tour feedback sir
Welldone, reduce to lowest term.
Nice sir
Awesome.
Glad to hear...!!!!!
At least I can understand
Great.
Thank u sir for the explanation.
But i solve it is showing me that the denominator is zero
Welcomed,check your solving again
Thanks
Always welcomed 👍
(4+3i)/(1-i)=-5/2
You rationalize, not subtract
Thanks
My answer is 1/4 - 14i/4
Welldone.
Reduce to lowest term
Thus nice
👍
(4+3i)/(1-i)cubed=-2+I/2
Great..!!!
-4/16+6/16i
Reduce to lowest term
I love you sir ❤️❤️❤️❤️❤️
Thank you, love you too 💙🙏🏻
-7/4 + (1/4/)i
Welldone
Sir please yhe link for the binomial expansion
czcams.com/video/PEdVibZhj8Y/video.htmlsi=qIApW6bR-YOhZa6P
Amazing, keep up the good work
Surely.
Sir my answer is 7-2i is it correct?
Welldone 👍
Thank you very much 😂❤
Always welcomed 👍👍
Question 2
-2/8, -14/8
Welldone. Reduce them to lowest term
@@jonahemmanuelofficial
Weldone sir
Ans: -7/4 +1/4i
i can't see the link to the binomial expansion sir
Its there.
czcams.com/video/PEdVibZhj8Y/video.htmlsi=kIUmvl4EFeSWWCb2
Actually you made me persue my career ,can i contact you personally please sir
Yes sure... Send a whatsApp message to +2349032558166
Go straight to the point when you DM ok?
-2/8-14/8
Welldone. Break it down to it's lowest term.
(2) 4+3I/(1-I)^3= 22/20+4I/20
Welldone.
Now reduce to lowest term
4+3i/(1-i)^3=1/2+7i/2
Nice video ❤️❤️❤️
Awesome, thanks
@@jonahemmanuelofficialI want the link to the algebra of Complex number using calculator
Why’s the coefficient of I =-1
Pleased watch the beginning of the video again
I’m not seeing the link for the binomial expansion
Please check again, I just added it
-2/8-14i/8✓ i hope i am correct
Answer to the last example= -23-11i/26
You did great, but please check your work again. More carefully this time.
I just did again answer=26+7i/29
Ans= -7/4 +(1/4)i
Welldone 👍👍👍
-2/8 - 14/8 i
Reduce to its lowest term
-1/4 - 7/4 i
Thank you sir God bless you
@@user-hm6hi9mp9r welldone