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Question

Question: The coefficient of the term independent of x in the expansion of \(\left\lbrack \sqrt{\left( \frac{x...

The coefficient of the term independent of x in the expansion of [(x3)+(32x2)]10\left\lbrack \sqrt{\left( \frac{x}{3} \right)} + \sqrt{\sqrt{\left( \frac{3}{2x^{2}} \right)}} \right\rbrack^{10}

A

0

B

10C1

C

5/12

D

1

Answer

0

Explanation

Solution

r = nαmα+β\frac{n\alpha –m}{\alpha + \beta}= 10×12012+1\frac{10 \times \frac{1}{2}–0}{\frac{1}{2} + 1}= 103\frac{10}{3} r ¹103\frac{10}{3} coefficient = 0