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The coefficient of the term independent of x in the expansion of is

Correct answer is '5/3'. Can you explain this answer?

The (r+1) th term in the expansion of is given by

For term to be independent of x,

5 - (5r/2) = 0

⇒ r = 2

Substituting the values in (1) we get:

T_{3 }= (−1)^{210}C2^{3−3}= 10(9)/2(27)

= 5/3

Hence, the correct answer is 5/3.

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The (r+1) th term in the expansion of is given byFor term to be independent of x,5 - (5r/2) = 0⇒ r = 2Substituting the values in (1) we get:T3 = (−1)210C23−3= 10(9)/2(27)= 5/3Hence, the correct answer is 5/3.