Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  CBSE XI  >>  Math  >>  Binomial Theorem
Answer
Comment
Share
Q)

In the expansion of $(1+a)^{m+n}$,prove that coefficient of $a^m$ and $a^n$ are equal.

1 Answer

Comment
A)
Toolbox:
  • $T_{r+1}=(m+n)C_ra^r.$
  • $nC_r=nC_{n-r}$
Putting $r=m$
$T_{m+1}=(m+n)C_m$-----(1)
$\therefore$ Coefficient of $a^m=(m+n)C_m$
Again putting $r=n$
$T_{n+1}=(m+n)C_na^n$
Coefficient of $a^n=(m+n)C_n=(m+n)C_m$-----(2)
From (1) and (2) coefficient of $a^m$ is equal to $a^n$
Hence proved.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...