1.

Show that the coefficient of a^m and a^n in expansion of (1+a)^(m+n) are equal.

Answer»

SOLUTION :(m+1)TH and (n+1)th TERM in the expansion of
`(1+a)^(m+n)` are `"^(m+n)C_m a^m` and `^(m+n)C_n a^n`
`THEREFORE` The coefficient of `a^m` and `a^n` are `"^(m+n)C_m` and `^(m+n)C_n` which are EQUAL.


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