Q1 of 70 Page 379

Show that the term independent of x in the expansion of is -252.

To show: the term independent of x in the expansion of is -252.


Formula Used:


General term, Tr+1 of binomial expansionis given by,


Tr+1 nCr xn-r yr where


nCr


Now, finding the general term of the expression, , we get


Tr+110Cr


For finding the term which is independent of x,


10-2r=5


r=5


Thus, the term which would be independent of x is T6


T6 10C5


T6 10C5


T6 10C5


T6


T6


T6


T6


T6=252


Thus, the term independent of x in the expansion of is -252.


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