The Binomial Theorem - Example 2

[@MotorsportsTamizhil]

the second term is actually (-27 x^2 y) the square in that is missing

[@kachikachi118]

Danny Ashwin yh true was thinking if I have forgotten some rules

[@cookiesncream8490]

Danny Ashwin im noticed that too

[@shibozhang3787]

Yeah, the result should be 27x^(3)-27x^(2)y+9xy^(2)-y^(3)

[@ultimatefrisbeescool]

My algebra teacher confused me a lot but watching your video made me understand why everything goes to that certain point.

[@davymatiko3435]

This gave me alot of trouble learning it in class during sessions with my Maths lecturer(whom I never understood at all), but after this, my eyes are open wide! Thanks man, keep up with the vids!!✌

[@tradengaming2023]

Had me scrolling through 10years of Videos to find Example 2, Thank you.

[@Mr.Yitzhak]

i honestly just got it recommended after the first example x-x

[@armeniarule]

Dear Patrick, God bless you my friend. Hope you live for 10000000000 years since you are spending your time to help students who need help such as myself. Thank you very much!!!!!

[@sammadarang]

You explain this better than my professor.. keep up the good work!

[@stak904]

you're the bomb!! my textbook didn't explain as much as you did.

[@m3o6i]

it's very helpful , u always get me understanding a topic if i don't get it by my own or my teacher ...

[@DupDap10]

shouldnt that be 27 x square y?

[@aubreymporokoso4686]

slight mistake on the -27x2y

[@LeNguyen-im8dm]

U are right.

[@mandisamkhize4475]

one word Patrick: Brilliant!

[@weedwak]

Thank you SOOO much for this! I was confused about this, but I understand it well now!

[@choruslover123]

thank you so much. my math teacher flew through this lesson and didn't stop to explain anything to the class. you saved my math final grade!! :D also, we learned nCr & nPr when do you use the P instead of the C?

[@angelansithole4074]

You are the best maths tutor👍

[@patrickjmt]

+Angela N Sithole thanks!

[@RunTooFree]

Thanks for new videos Little correction if you don't mind. At 3:45, simplifying 2nd term 3(3x)^2(-y) = 27(x^2)(-y)

[@patrickjmt]

@jiro32 yes, it is pointed out in the annotations

[@TheAzulcpm]

Thank you men. this is more than awesome

[@ShawnMiltonSinger]

Thanks Dude ! You Saved my Life :)

[@ivyngeama96]

this helped me very much....its way better then the way my lecture explains it loving it

[@Ev3rything508]

thanks to you mahn ,you helped me understand what i couldnt understand

[@ebenygraves]

better than the book. now i can do it on my own at any time! thank you so much!

[@BigFatMambaa]

Thank you so very much, I finally understand Pascal's triangle through this example.

[@noudie7305]

Thank you... Your videos are always and forever my favourite🙌

[@myownunicorn8717]

thank you so much I really understood every thing now .. thank you forever

[@angelicacardona2039]

I understoood binomial very very well with your explanations. Thanks a lot

[@vincentmilone]

Much more helpful than my trig teacher. Thank you!!

[@Sakura-je7pu]

its supposed to be 27x^3 - 27x^2y + 9xy^2 - y^3

[@erikahunter7608]

lmaoooooooooooooo thats kinda embarrassing for him

[@rleong9842]

I know right, kinda sad ngl

[@sophiabbb]

omggg you've enlighten me

[@iw5124]

ooooofffjrnnfs my dear, a lil problem there

[@xMarceMarcex]

I watched both examples, and you've saved my life! You've got great diction, I am Mexican yet I could understand every single thing :) Keep up the awesome work! (And you have sexy hands, by the way ;D)

[@johnholme783]

Simplicity itself! Thank you!

[@emilygearhart9567]

Makes so much more sense now! - Thank you

[@PrimeAliProductions]

Patrick is a BEAST!

[@baileyw1308]

Why is the answer not in + - + - + - form? When doing this subtraction binomial, don't you need to alternate the + - signs?

[@bens4052]

You saved my life on final exam thank you !!!

[@TheKatherineTimes]

omg THANK YOU! my teacher did a crappy job explaining this and my finals tomorrow. haha

[@AR-rf9hc]

hello PatrickJMT sir i am very thankful to u, i really appreciate ur efforts i am doing associate engineering diploma in civil tech,and math was a monster for me untill now. i am very thankful for heling me out and i want to compliment you as a veryhelping BIG BROTHER THANKS A LOT BROTHER

[@hudamusa5570]

Oh my gosh this was so so helpful, thank you wow!

[@aaronriley8307]

thanks for the video it was very helpful.I appreciate it keep sharing the knowledge of algebra 2

[@nokuthulatshabangu2201]

Thank you Patrick!!!!

[@sasiddharthasthana]

how do i know which is the next video in this series( the binomial theorem)?

[@patrickjmt]

@powderedmilkdrink no, i do not think i do

[@puseletsonkabinde2558]

isn't the answer 27x^3-27x^2y+9xy^2-y^3??looks like u forgot to write the exponent2 on x

[@berezker]

you're right he did forget it

[@lalithanaraparaju535]

This was amazing and really helpful! Thank you!

[@patrickjmt]

@pistachiolios no problem-o

[@Sylvester_Mashile]

It should be -27×^2y

[@maobanetebogochikane197]

Lol still

[@Sylvester_Mashile]

Lmao 😂 hehe

[@maobanetebogochikane197]

Lol go hard younging

[@longtranhai2761]

Arent u missing a power of 2, shouldn't it be -27x^2y?

[@SometimesSayNever]

Thank you, you have helped me A LOT. :D

[@Ramoslavmo]

Best tutor. Anyway thanks alot ☺️ 😊

[@kiramora]

Great now i understand how to do it if its a subtraction. Thx dude

[@amrroxmoora]

Dude ilove you thanks a lot !!! You certainly helped me a lot .

[@EricCartmanFTW]

patrick whats the difference between finding binomial with (a+b)^n , where n is positive and n is negative? im confused with all the names, binomial theorem binomial series, help pls thx in advance

[@hudamusa5570]

You know when you said you accidentally left out the power of 2 on the 27? I don't understand why there should be the power of 2 if you already squared 3x to make 9x.

[@ossaio.bright4039]

beautiful lecture

[@elianareeva8253]

I have a question regarding another example but same topic. A subcommittee of three people is to be chosen from 10 people who attended the AGM of a certain prospective company . As a mathematician advise them to in how many ways this can be done. What if the subcommittee was to exist out of ten people.

[@nixxni3571]

So helpful ! Thanks a million

[@thatwaslithe3849]

can you use bigger raised? it was confusing when it's raised into a higer number

[@fender132435]

How would you do this: 'State the coefficient of x^3 in the following: (7x+3/x^2)^6 I understand how to do the type in which there are an x and a y value which only one has x (like the guy you have responded to) but how do you do this?

[@janmyktravels8942]

Hey patrick? In the 2nd term? I think that's -27x power of 2 not -27x only? Am i correct?

[@daanvanvught]

Yes you are correct.

[@Zwan97100]

the way u teach is soooo good,i can banana

[@lukamiokiaira2080]

You did not put x square at -27

[@patrickjmt]

@hitthefloorzzz i have faith that you can figure it out

[@Rodriguez0684]

It got me confused in that part 3(3x)^2(-y) should equal to -27(x^2)(y) right?

[@Biopony720]

if the second & third terms in the expansion of (1+x)^3 (1+bx)^4 are 5x and 3x^2 find the value of a & b

[@marionyah5548]

Why keep the square and cube on the Y?

[@patrickjmt]

@choruslover123 you should watch my videos on permutations and combinations

[@VioTutorials]

only this video on youtube i can understand thanks.

[@PrimeAliProductions]

@patrickGMT , shouldnt the second term be 27x^2y ?

[@smeeshers]

um im kinda confused why is there a power of 3 in 27 when you already calculated the 3 to the power of 3 ?????¿

[@smeeshers]

ok my bad i get it now

[@jiro32]

you forgot to square the x value in the 2nd coefficient... it should read: -27(x^2)y AmIRight?

[@ATEG8374]

That moment when you realize this is how they derived the formula for cube of a trinomial :O

[@tarynpollock4181]

You're the best!!

[@themightycaolf6549]

How would you solve something like (2x-3y) to the power of 4? Idk if it was explained in the video, I have a hard time trying to understand things but, do you just pick either the 3 or 2 to multiply or?

[@xEpiclyrikSx]

THANK YOU THANK YOU THANK YOU

[@MrWIldone4258]

I worked out this problem also and to check mine against yours and I came up with the same answer except with one difference. On the part after the minus sign you had 27xy and I came up with 27x^2y Did I do it wrong? I came up with the same answer as Danny did.

[@abo3liii110]

(3x)^2=9x^2

[@nathanclarke9822]

Thanks a lot, kinda better than Khan in this vid

[@rabiafaryalgohar1880]

What if the exponent is a variable?

[@susanaromo5315]

wouldn't it be 27x^3-27x^2y ... ???

[@bakareakeemabimbola6053]

your final answer for expansion suppose to be 27x^3-27x^2y+9xy^2-y^3?? you forgot to write the exponent2 on x

[@luffymmh]

MY HERO

[@JeFFiNat0R]

what do ye do wen the power is a fraction?

[@jovanstojcevski3334]

Hate to correct you friend but the second term should read -(27x²y) not -(27xy)?

[@winfeelthebeat]

Can u pls explain to me why does the second term is in (negative) 27x^2y and the last term -y^3? Why is it negative? Thyen the 9y2 is postitive?

[@samkolij2]

how would you solve for the coefficient of a or b like eg (2x-1/x)^5

[@suryanshpoply5314]

Isn’t 27xy supposed to be 27x squared y

[@Gu53cUa]

please!! change to volumeof your mic, it is way too low.

[@omgiloverosslynch]

THANK YOU SOOOOOOO MUCH!!!!

[@Yarlification]

I was just wondering, what if b is to the n power. Example: (x-y^3)^3

[@jayceinfinitealgharhythmns9814]

You know, it's a great explanation, but would it hurt to follow through with all the steps? Like ProRobBob! It makes it easier and just keeps everything consistent.

[@WardetMasrMe]

can you explain the binomial theorem with fraction & negative powers for us,please??

[@taifaljubaree9859]

Thanks but you did mistake in the last step. The second term should be -27x2y

[@G4700]

what if your n value is a big number like 837?

[@WndGproductions]

shouldnt the first term be negative? since (-y)^0 = -1

[@patrickjmt]

(-y)^0 = 1

[@WndGproductions]

Thanks!

[@dancingintherainish]

how would you find x^4 coefficient if (2x+1/x)(2x-3)^6 ?????

[@Jaizy]

thank you >..

[@lolsmileyface62698]

so if the binomial is negative, the expantion would be positive negative then positive again and so on...

[@alicehimoonga1584]

How can you solve this question? Expand (1+1/4x) power 4 in ascending powers of x.Hence evaluate (1.005)power 4,correct to 3decimal place.

[@btkw]

3:56 -27(x^2)y

[@mandla-nkosi]

thank you for the video I understand now except for one thing, I can't seem to get the n' factorial side (3 on top of thingy. please help Patrick.. the binomial coefficient. never mind I think I got it

[@joshuamercedes6025]

where is example number 3 video

[@reecemellor8955]

what could a problem be using binomial