Dear Vishwesh

simplyfy the given expression

it will become

 {(x^1/3 +1) -(x^-1 + x^-1/2)}¹⁰

={x^1/3 +1 -x^-1 - x^-1/2}¹⁰

use multinominal theorem and find general term of series

=10!/p!q!r!s! [(x^1/3)^p(1)^q( -x^-1 )^r(- x^-1/2 )^s]

=10!/p!q!r!s! [(x^{p/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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