BINOMIAL THEOREM » how to use the Binomial Theorem & Pascal's Triangle Shortcut | Math Hacks

[@danielaghedo-jacob8979]

Wow this was soo well explained.

[@anastasiakuznetsova8290]

in 15 minutes she explained what i didn't understand for an entire school term. thank you so much!

[@sedwooper8030]

Why is this so underrated , this channels deserves way more

[@MathHacks]

Thank you ❤️❤️❤️

[@DavePawson]

Certainly worth watching again, thanks.

[@sabbirahmed4684]

Very clear explanation. Thank you, dear. Wish you the best.

[@MathHacks]

Thank you so much for watching!

[@JohnnyV123]

Excellent video! Well explained and you made it as accessible as possible

[@trippgraves]

This helped my son a lot. Very clear and easy to understand explanation.

[@MathHacks]

I’m so glad it helped your son! Happy maths!! 😊

[@ellachino4799]

This was so helpful. Holy cow, thank you so much!

[@sujitsutar3271]

Nice video well explained!

[@rohithselvamani8003]

Thank you so much !! This would help me for PRMO preparation

[@MathHacks]

You’re welcome! I’m so glad it helps you!!

[@tomriddle9740]

Wow! You explained it better than Sal Khan from the Khan Academy! Please do make more videos!

[@MathHacks]

What a tremendous compliment! Thank you!!

[@tomriddle9740]

No Problem😇

[@sharda8430]

It is very easy than using the formula Thanks

[@tamannagoyal8953]

You're the best and one of my favorite teachers thanks a lot mam like means a lot may god bless u

[@MathHacks]

I am so happy to hear the videos are helping you! Thank you so much for your kind words 🙏🏼

[@tamannagoyal8953]

God bless ya mam please keep making interesting videos please thanks a lot make some on number theory or graph theory. i love the way you teach that's really really awesome thanks a lot you deserve lots of subscribers and respect because of you i've started loving mathematics.

[@varshu8296]

THANK YOU SO MUCH!!!!

[@MathHacks]

You’re very welcome! 🙂

[@domd1268]

Hi. I think in the final answer, it must be -270x^2y^3 not -270x^2y^2. or was I wrong? But thank you for the video. :)

[@Sean-ol7ok]

can u do a video where there is a term in front of the x e.g (3x^2+5y^7)^34

[@MathHacks]

Hello there! Yes, that is a wonderful question, and I’ll add it to my future film list. To answer your question, you’ll basically just group the coefficients on x and y in parentheses and apply the powers and multiply by the binomial coefficients (from Pascal’s triangle or the combinations formula) as you would normally like in the example in the video. I have a written tutorial on my blog that applies the binomial theorem to a binomial expansion with a coefficient on x that might help you out although it’s still a simpler example than the one you suggested (link.medium.com/aUsWKtjIkV ). Hope that helps! Thanks for watching Math Hacks!

[@Sean-ol7ok]

@@MathHacks wow that's really helpful, with powers that large I tend to just use the formula, but great explanations, hope to see more a level topics

[@Sean-ol7ok]

@@MathHacks would be nice to see topics like inverse function or vectors , differentiation

[@MathHacks]

I hope to be covering some higher level topics this summer! 😉

[@tasninnewaz6790]

Please upload more videos .

[@MathHacks]

More are coming 🙂 thanks for watching!

[@jefftheflyingtiger]

GOOD

[@mankirankamaal174]

Can you do a video on finding limits on a graph

[@MathHacks]

Yes, great idea!

[@mankirankamaal174]

Good because I’m really struggling on it

[@TechToppers]

Why no derivation...

[@destiny_7629]

Sorry but I think you made a mistake in Pascal's triangle. 8:57 you said that we have to add however you wrote 4+4=10? And 3+3=4? Shouldn't it be 8 and 6? Correct me if I'm wrong...? Although the six row is correct and the answer is correct too I think...

[@MathHacks]

Hi there! So when you make the Pascal’s Triangle you add the two numbers from the row above (where I drew the pink lines) so for example you’d add 4+6 and 6+4 to get the 10’s in the last row I wrote out. The 4’s come from adding 1+3 and 3+1 from the row above. Let me know if that’s what you were questioning and makes sense! I do make a little transcription error later in the video, which I correct at the end... hope that helps. Thanks for watching!

[@destiny_7629]

@@MathHacks oh god I'm so sorry! I get it now! I'm sorry I mistook 6 as 4. I'm literally sorry for troubling you. Thank you though for making it clear to me. (*Apologizing again*)

[@MathHacks]

No worries! This stuff can get SO confusing. I'm glad it making sense to you now! Good Luck!!

[@destiny_7629]

@@MathHacks It helped me a lot!! Thanks:)

[@youcan_change_handle_3june_]

what are u doing now its been 9 months

[@RohitRawat40734]

great maam u r so cute