SOLUTION: stumped by this one too. Write the first four terms in the binomial expansion of (m-n)^11, expressing the result in simplified form

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Question 62934: stumped by this one too.
Write the first four terms in the binomial expansion of (m-n)^11, expressing the result in simplified form

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
QUESTION

Write the first four terms in the binomial expansion of (m-n)^11, expressing the result in simplified form
ANSWER:

(m-n)^11
= m^11 - (11*10)/(1*2) m^10 * n^10 + (11*10*9)/(1*2*3)m^9 * n^2+(11*10*9*8)/
(1*2*3*4 ) * m^8 *n^3+...


= m^11 -55m^10 * n^10 + 165 m^9 * n^2+ 330 * m^8 *n^3+............


= m^11 -55m^10 n^10 + 165 m^9 n^2 - 330 m^8 n^3


which is the required answer.


Regards.
praseenakos@yahoo.co.in