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Dear Vishwesh
simplyfy the given expression
it will become
{(x1/3 +1) -(x-1 + x-1/2)}10
={x1/3 +1 -x-1 - x-1/2}10
use multinominal theorem and find general term of series
=10!/p!q!r!s! [(x1/3)p(1)q( -x-1 )r(- x-1/2 )s]
=10!/p!q!r!s! [(xp/3 -r-s/2](-1)r+s where p+q+r+s =10
for the term does not contain x
p/3 -r-s/2 =0
now find out all possible value
put p=r=s=0
so q=10
so general term become
10C10 or 10C0
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