Show that the coefficient of x4 in the expansion of is .

To show: that the coefficient of x4 in the expansion of is -330.


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+1 10Cr


For finding the term which has in it, is given by


10-3r=4


3r=6


r=2


Thus, the term which has in it isT3


T3 10C2


T3


T3


T3


Thus, the coefficient of x4 in the expansion of is


1