Binomial Expansion Finding Coefficient

Learn how to find the coefficient of a specific term when using the Binomial Expansion Theorem in this free math tutorial by Mario's Math Tutoring.
0:10 Example 1 Find the Coefficient of the x^3y^5 Term in the Expansion of (2x-3y)^8
0:38 Reviewing Pascal's Triangle
1:39 Introductory Example Expand (a+b)^3
Example 2 Find the Coefficient of the x^4y^12 Term in the Expansion of (5x^2-2y^3)^6
Related Videos:
Binomial Expansion Theorem
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[@MariosMathTutoring]

Like this video? See another example where you solve for a particular term in the binomial expansion here: th-cam.com/video/Y32hGegCoPI/w-d-xo.html

[@StrayTeez_8]

Thank You very much Mr. Mario. Your videos really help me a lot.

[@chikeezemonye1301]

Pls expand and find the coefficients of xy ,x2 and y2 in (x+y)(x+y)

[@timacorn2536]

thank you mr. mario
this is at least 10x easier to do than the way my teacher explained it

[@MariosMathTutoring]

You’re welcome Tim! Glad my video made it easier for you!

[@zymbol]

Thank you! My "instructor" doesn't know how to do this, so he couldn't explain it. (The quizzes are auto-graded) I greatly appreciate your help; you're amazing!

[@SimonTeshale-i8f]

6 years later still helping. thank mr. mario

[@bluesquare2207]

I'm impressed that his equation is easier to memorize than the equation in my math book
Subscriber: +1

[@JnnYoo]

I just want to say I REALLY REALLY appreciate your videos. You are an amazing teacher and all of your videos are so helpful! THANK YOU SO MUCH

[@Daniel-hw8su]

helped me answered a question in my exams when theres only 5 mins left. you saved my grade mr mario 😂

[@OPP534]

thank you Mario! I realized that I wasn't taking the power of the exponent into account. Thanks for your hard work sir

[@JasonFernando-g1e]

thankyou so much mr. Mario, very helpful for us (ong and kimmy). God bless u

[@MariosMathTutoring]

Happy to help!

[@aarav_chauhan_729]

Your teaching style is totally amazing love from INDIA guruji

[@libaaxalee]

Man you don't know how easy you made me understand this one, I don't know why the book I got didn't show it this way. Thank you.

[@itamargolomb8530]

You made me the happiest 14-year-old university student in the world! Thank you so much!

[@MariosMathTutoring]

You’re welcome Itamar! Glad my video helped you!

[@bpmeiko7154]

Thank you so much, this video helped me a lot with my assignments

[@MariosMathTutoring]

Glad my video helped you Zhu!

[@BrandonLandrumJeffries]

please never stop teaching on youtube!

[@stincc4319]

Thank you sir , clearer than my instructor

[@MariosMathTutoring]

Happy to help

[@MsZboogie1]

OMG!! Love you, love you for this video. So incredibly helpful. Thx for sharing your knowledge and explaining it in a way that's understandable. YOU ROCK!

[@mengchangli9297]

Thanks for the explanation ! The process is much more clear than my professor !

[@sandysameh3568]

thank you this explained it a lot better than both my professor and my textbook!

[@MariosMathTutoring]

Glad it helped!

[@rahazandifar5596]

You are a great teacher.

[@MariosMathTutoring]

Glad you like my videos and channel!

[@MariosMathTutoring]

Glad you like my videos and channel!

[@MrBuleAP]

Great video. Your a geat teacher. Glad you are using your gift to help others. great communication of concepts. thanks

[@Divinesview-h7o]

I can't explain how much l have understood sir thanks so much,may Jehovah God protect you,in his coming day

[@lisa-ni5kb]

thank you so much ! your explanations are always clearer and simpler ! lucky i found your channel :)

[@hanuthakur3841]

this mans channel is so underated

[@MariosMathTutoring]

Thanks Hanu!

[@TeddyIsFluffyVlr]

Thank you Mr. Mario

[@oceans_bae2248]

you saved my life, thank you so much!!!!

[@mani771403]

Excellent lesson, easy to understand. Thank you!

[@MariosMathTutoring]

Glad my video helped you Mariyana!

[@saentertainment3955]

You are also amazing

[@phuphu1867]

This video was really helpful, thank you once again!

[@MariosMathTutoring]

Glad to hear it!

[@guntugayatri1439]

Sir please explain it with 4 terms inthe expression

[@gsbedi68]

Thank you sir ! It really helped me a lot !!!

[@MariosMathTutoring]

You’re welcome Gagandeep! Glad my finding the coefficient video helped you!

[@ninjapirate123]

Sir can you tell me whats the difference between the formula Tr+1=(nr)a^n-r,b^r and the formula you said on the video. Because my teacher tells me to use that formula instead of the one you said on the video

[@yasminemathew8257]

I literally can't thank you enough

[@goodnightvids]

Amazing explanation, Thank you SO MUCH!!

[@MariosMathTutoring]

Glad it was helpful!

[@jesquare7995]

A true saviour

[@Krysta-p8n]

Thank you for these videos!!

[@MariosMathTutoring]

You are so welcome!

[@wajdwael8775]

so clear, thank you!

[@MariosMathTutoring]

You're so welcome!

[@TheThreeRockstarsGroup]

Very good teaching and explanation I just hitted the Subscribe button

[@MariosMathTutoring]

Glad you like my videos! Welcome to the channel!

[@destroyer5820]

Im glad i watched this

[@chikeezemonye1301]

Pls expand and find the coefficients of xy,x2 and y2 in (x+y)(x+y)

[@markforbes6187]

Great Video! very useful if you're taking discrete math II (C960) at WGU

[@guardybutcats5532]

thanks mario sir

[@secretman5935]

Thank you so much sir I understand all

[@vedantsuryawanshi2920]

You rock it sir !!! Can you explain a little on Multinomial theorem ... 😃😃😃

[@MariosMathTutoring]

Glad you liked the video!

[@XXXXBossXXXX]

THANK....... YOU!!!!

[@edgarovsepian5988]

You sir are amazing, thank you!

[@JaneRamatseba]

Best video ever✔👌🔥Sir u really know your story ✔✔

[@MariosMathTutoring]

Glad you liked the video ramatseba jane!

[@bravi8793]

Wonderful ✨😍 sir

[@notthemlgtom494]

Wow! My brain has learned something!

[@MariosMathTutoring]

Awesome! Glad my video helped you!

[@peterwilliams2999]

@@MariosMathTutoring speak slower!

[@lizchencornelius3394]

Wow this helped alot❤

[@girlyphawe7825]

thank you sir this really helped

[@MariosMathTutoring]

Glad it helped

[@msainmh2449]

Thanks u for the in-depth explanation very helpful

[@MariosMathTutoring]

Glad you liked my in-depth explanation of working with binomials and Pascal’s triangle etc.

[@sandhiyas3278]

now i am understanding well . nice teaching sir.

[@MariosMathTutoring]

Glad my video helped you Sandhiya!

[@morningstar2728]

Great mario! Liked your video, awesome lecture!

[@MariosMathTutoring]

Glad you liked the video Nick!

[@rkive2864]

ahhhh this helped me a lot thank you so much! :D this make so much more sense now my math teacher was so confusing thank you again!!!!!

[@MariosMathTutoring]

You’re welcome!

[@jihangirastra3851]

Thank you Sir, this has helped out alot!

[@MariosMathTutoring]

You’re welcome! Glad my video helped you!

[@NarangaravZorigt]

What a coincidence.

[@lizchencornelius3394]

Who's here because thier writing exams??

[@999tvmedia5]

Lol me😂

[@NendoMendani]

Me bro 100% . Preparing for my mock.

[@sameerahabigail8478]

thanm u so much it help me a lot

[@sarahsweeney2330]

great video! thanks so much!

[@LucasG898]

THANK YOU

[@anveshvs7671]

Yo Mario ...awesome....explanation

[@studygirlsittingnexttome]

You are so amazing!!!! Appreciated it!

[@goodwill_ken]

Thank you!

[@MariosMathTutoring]

You're welcome!

[@gfhjjvvvhj4975]

Can you please answer this: find the coefficient of x^3 in the expansin of:
(3+4x)(1-2x)^7

[@aishafarooque1954]

-504x^3

[@shivanshusuryakar8692]

@@aishafarooque1954 Can you tell how you got that? I got -672

[@dhanendratyagi3630]

@@shivanshusuryakar8692 2 possibilities of generating x^3
1.3×(ax^3) coeff.=3[7C3.(-2)^3]
2.4(bx^2) coeff.=4.[7C2.(-2)^2]
And add both the coeff.

[@cat-hg6fz]

This was helpful

[@williammazhawidza]

Thank u so much, i now get it.

[@MariosMathTutoring]

Great!

[@egram5328]

tnx Mario love from university of dhaka

[@kortneyfield1899]

Thanks!

[@hydersunfearless2519]

He is God of Math, Please bless me!

[@asogwaekene6129]

Nice teaching

[@MariosMathTutoring]

Glad you like my teaching style Asogwa!

[@carla-gi6yz]

wow thanks so much for explaining this!!

[@MariosMathTutoring]

You’re welcome! Glad my video helped you!

[@MariosMathTutoring]

Glad you liked the video Rahul!

[@BetaV3rsi0n]

I finally got it😭😭😭

[@leoji5690]

Thank you, VERY HELPFUL

[@MariosMathTutoring]

You’re welcome Leo!

[@nibba7438]

ty my guy

[@hydersunfearless2519]

Thats why I said, youtube videos are better than my teachers

[@THATGUY-to4hy]

thank you sir

[@MariosMathTutoring]

Most welcome

[@Elitea20]

What does n chose r mean? E.g 4C0?

[@MariosMathTutoring]

4C0 means out of 4 items how many ways are there to choose 0? Answer is there is only 1 way to choose no items out of 4. Hope that helps!

[@Elitea20]

Mario's Math Tutoring yes thank you sir, also I appreciate your work on the channel!

[@Livinginthepresentmoment07]

Thank you

[@MariosMathTutoring]

You're welcome

[@alwysrite]

Nice trick, thankyou.

[@MariosMathTutoring]

Your welcome!

[@phunsok7582]

Thank u sir

[@ogbebadre6450]

determine the coefficient of x^5 in 5(1-2x)^4(3x²)

[@Mohsen.Mokhtari]

that was amazing thank you.

[@MariosMathTutoring]

Glad you liked the video Mohsen!

[@Janzzz]

Thank you this helped alot

[@MariosMathTutoring]

Glad my video helped you J S!

[@alexwhite9841]

Thank you very much for help!!!

[@MariosMathTutoring]

You’re welcome Alex!

[@ishnaali3699]

THANK YOU SO MUCH

[@MariosMathTutoring]

Your welcome Ishna!

[@hasrat17]

thank you ...

[@MariosMathTutoring]

You’re welcome Hasrat!

[@cjbautista1961]

thank you so much sir. more power!

[@MariosMathTutoring]

You’re welcome Cj!

[@inadaizz]

Lol you're plugging ACT and SAT?! Are highschool kids doing this stuff?! I'm a senior about to graduate from university with an engineering degree and they're just now making me do all of this haha.

[@syedmdabid7191]

What th term is 3 x y ^2 in the expansion of ( x+y +z)^3 ?

[@hashamahmed4665]

how to solve (x² - a/x)7 the expansion of x5 is -280 find the value of the constant a

[@mariafrancis4617]

How did you find out the 4 in 6C4 In the second question ?

[@morningstar2728]

Don't confused with powers we have to distribute such number powers, so we could get a proper power addition while dividing the numbers of the given variables!

[@mariafrancis4617]

@@morningstar2728 thanks for the reply😊

[@buenosdiasfuckboy9485]

What is the 7 factoral thing ?

[@MariosMathTutoring]

Do you mean 7! = 7*6*5*...1

[@loliamvegan9003]

This is sooo much easier

[@MariosMathTutoring]

Glad my video made it easier for you Tsungai!

[@DevendraKumar-im8ex]

So Thanks sir...

[@MariosMathTutoring]

You’re welcome Devendra!

[@kimyates6561]

Thank you !!!!!!

[@MariosMathTutoring]

You’re welcome Kim!

[@pamelainprint5479]

Best video ever

[@MariosMathTutoring]

Glad you liked the video!

[@pamelainprint5479]

Mario's Math Tutoring Yes. I like that you've shown how to get the values for a certain row without having to complete Pascal's triangle. It's very convenient especially if I have to look, say, at n=20

[@pamelainprint5479]

Mario's Math Tutoring It's clear to me that you really know what you are teaching!

[@cptclasses5485]

Osm video 👌 👌

[@miguel10chavez]

Mark Strong is that you?

[@chengguan4197]

Fuckin love you Mario!!!!!!!!
A very great teacherrrrrrrr! Love it

[@M7RAA]

Great

[@theperezident1934]

what if both the a and b values had an x

[@劉亞哲]

what if there are more than two item in the ( ) tks

[@dhanendratyagi3630]

Then also this will work with some modification

[@劉亞哲]

@@dhanendratyagi3630 tks