1.

In the expansionof (y^3+a^7/y^5)^10,Does there exist a term independent of y in the above expansion?

Answer»

SOLUTION :LET (r+1)th term is independent of y.
THEREFORE `y^(30-8r)` = 1 = `y^0` or, 30-8r = 0
or, r = 30/8 = 15/4 which is not possible as `RIN N` or zero.
therefore There is no term in the expansion
of `(y^3+a^7/y^5)^10` which is independent of y.


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