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In the expansion of , the term which does not contain x is : 1. 10 C 0 2. 10 C 7 3. 10 C 4 4. none

























In the expansion of , the term which does not contain x is :
10C0
10C7
10C4
none

Grade:12th Pass

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
11 years ago

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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Badiuddin

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