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Question

Question: The coefficient of \((1 + x)^{1/3}\) in the expansion of \((1 - x)^{1/3}\) is....

The coefficient of (1+x)1/3(1 + x)^{1/3} in the expansion of (1x)1/3(1 - x)^{1/3} is.

A

14

B

21

C

28

D

35

Answer

21

Explanation

Solution

(1+x)2+.....+(1+x)n(1 + x)^{2} + ..... + (1 + x)^{n}

xk(0kn)x^{k}(0 \leq k \leq n) The coefficient is n+1Ck+1n + 1C_{k + 1}.