Partial Fractions

This video covers partial fractions with five examples! Grab a pen and paper and work along with the video! Remember, you can pause and rewind whenever you want!!
Note the math error around 13:30 mark that is also mentioned in the comments. The left side actually sums to -18 instead of 18, so C = -2 (instead of C = 2 in the video). Sorry about that! :·⌡

[@luisaguirre2803]

algebra error. -1+14-31=-18 therefore c=-2

[@MathWithMisterA]

Luis Aguirre Agreed. Thanks for spotting the error! I added an annotation.

[@itumelengmotati8767]

yes he made a mistake dere

[@LCKY-nv8oi]

Damn i taught i wz wrong, thx dude :D

[@valeriaezeribe240]

The video was helpful and fascinating. thanks Michael.

[@BRUBRUETNONO]

Thanks ... it reminds me of my studies ;) @16:50 we can use as well elegantly the complex roots of X^2+1 as follows ... F(X) = (10X^2-50X+10)/[(X-7)(X^2+1)] = A/(X-7) + (BX+C)/(X^2+1) Let X=7, then: F(X).(X-7) = A = (10x7x7-50x7+10)/(7x7+1) A = (10.49-50.7+10.1)/50 A = (50.10-50.7)/50 = (50.3)/50 A = 3 Let X=i first root of (X^2+1), then: F(X).(X^2+1) = Bi+C = (10i^2-50i+10)/(i-7) Bi+C = (-10-50i+10)/(i-7) = -50i/(i-7) = -50i(i+7)/(i^2-7^2) (I): Bi+C = -50(i^2+7i)/(-1-49) = -1+7i Let X=-i second root of (X^2+1), then: F(X).(X^2+1) = -Bi+C = [10(-i)^2-50(-i)+10]/(-i-7) -Bi+C = [-10+50i+10]/(-i-7) = -50i/(i+7) = -50i(i-7)/(i^2-7^2) (II): -Bi+C = -50(i^2-7i)/(-1-49) = -1-7i Using equations (I) and (II), as I+II, we get : 2C = -2 then C = -2/2 = -1 as I-II, we get : 2Bi = 14i then B = 14i/2i = 7 Finaly F(X) = (10X^2-50X+10)/[(X-7)(X^2+1)] = 3/(X-7) + (7X-1)/(X^2+1)

[@ACEmaster269]

Very useful to me thank you so much

[@debjitdutta9386]

Thank you!! This is the best video on partial fractions in a shorter time and effective way!!

[@raghad8475]

This is so helpful video thank you so much

[@manaspandit8508]

Thanks very much for your detailed explanation.Was much needed.

[@chalijustin4837]

thanks for providing tutorials for partials fractions.

[@antonvonhunerbein7871]

thank you from new zealand i wasent taught this in class and it comes up frequently in tests. hats of too you

[@junglegoose4648]

English next then XD

[@dimitrisgkofas3938]

What are you doing at min 14:38 what is that B(x^2-5x+4) where does it stem from?

[@MathWithMisterA]

That's from multiplying out B(x-4)(x-1)

[@dimitrisgkofas3938]

@@MathWithMisterA yea i understood it after a while thanks a lot for the reply

[@tceterex]

Thank you for the first at 0.04 slide which clearly states which problem appears at what time

[@georgepinyolo4013]

MathwithmisterA good work i like the way you explain the maths. Thanx for that

[@Justiin_rm]

Oh my god. U cleared up my day THANKS SOOOOO MUCH!

[@milianacakacaka529]

13:43 👉 try pressing this in your calculator -1+14-31=-18 and not positive 😌😌

[@jorambene_dy6989]

Exactly

[@srockerrr]

This is excellent, thank you so much!

[@سجادابنالبصرة-ز9د]

thank you sir, very clear for me

[@prakashankt7464]

it's very helpful vedio for me so tks sir

[@gehadsaleh1057]

THANK YOU SO MUCH ACUTELY YOUR EXPLANATION SO USEFUL

[@michaeldumapias487]

thank you so much. very simple explanation :D

[@iamthespeakenglish99]

can someone explain to me about 4:15? i dont really understand how to factoring that thing

[@MathWithMisterA]

I have some videos about factoring: kzbin.info/www/bejne/a5jZloSHppmoors

[@doaa7924]

Very helpful.. Thank u so much:)

[@mickwellhamakoma4854]

it was awesome sir

[@justdusty9697]

Am i even allowed to pick values for x to get rid of a,b or c ? Because technically for the second expression. 4 and 1 don't belong in the domain of definition

[@Aman-sz5oe]

You are the best 👏continue

[@rachelkimemia5897]

merci beaucoup!

[@umashankarrajak4783]

thanks from India

[@themanfromtheeast2048]

thank you so much good sir.

[@felinitaiivillacura1300]

wow.. It's of great help for me...

[@barshona]

Thankyou so much sir! your video has helped me a lot 👍👍

[@muhammadufaroukshugaba7312]

Thanks sir

[@MYchannel-qv9hj]

thank you so much

[@justinbesper6826]

thank you

[@5029rahul]

Thank you!

[@mayanksarwa.8609]

Please tell me from which book you had took this question ....

[@clarissetumulak2910]

13:41: -1^2 is 1, not -1

[@narasimhareddynarasimhared7937]

Is correct? my answer: A=3 B=1 C =-2

[@MathWithMisterA]

For the 3rd example, yes, that is correct.

[@abdurraheem713]

very useful.

[@vamshipadiga7]

Thankuuuuuu

[@enyadeeney9447]

i love you

[@Aman-sz5oe]

13:33 (-1+14-31)=-18

[@MathWithMisterA]

Yes, you are correct, thanks! I added an annotation to try to fix it, but those don't show up on all platforms. :( This will also make C = -2 and B = 1.

[@samahirrao]

thanks!!

[@nishreenrajkot7332]

How to solve this problem 1by x^4-1

[@hassaanahmedkhan5854]

Jiye bhutto

[@eipimath]

Thanks for sharing! I posted a video on the cover-up method. Hope to get your thoughts.

[@فيزيائيةانيقة]

احسنت شرحك يخبل

[@yaswanthbabu1700]

It's very helpful leaner s

[@sirikolusu9176]

Tqq sir

[@abro7827]

-2 at 13:40

[@MathWithMisterA]

Yes, thanks! I put some annotations over that mistake a couple of years ago, but those annotations don't show up on all devices anymore. :(

[@borlakuntarajesh6714]

Tq

[@panvelshopping9539]

no sound