The term independent of x in the expansion of ((x+1)/(x^(2/3)+1-x^(1/3)) - (x+1)/(x-x^(1/2)))¹⁰, for x>1, is:

Binomial Theorem and Its Simple Applications: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q31

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The term independent of

x

in the expansion of

\displaystyle\bigl(\tfrac{x+1}{x^{2/3}+1-x^{1/3}} - \tfrac{x+1}{x-x^{1/2}}\bigr)^{10}

, for

x>1

, is: