Term independent in 'x' [x+1/x^(2/3)+1-x^(1/3)- x-1/x-x^(1/2)]^(10); x>1 is

Question

Term independent in 'x'\(\left[\frac{x+1}{x^{\frac{2}{3}}+1-x^{\frac{1}{3}}}-\frac{x-1}{x-x^{\frac{1}{3}}}\right]^{10};x>1\) is

Answer 1

Answer is: \(5^{th} \text{term}\) 

\(20 – 5r = 0 \Rightarrow r = 4\)

\(So, T_5, i.e. 5^{th} \text{ term}\)