The term independent of x in the expansion of [ (x + 1)/(x^(2/3) - x^(1/3) + 1) - (x - 1)/(x - x^(1/2)) ]¹⁰, x ≠ 1, is equal to _ _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Evening shift · Q26

JEE Main 202118 Mar, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The term independent of x in the expansion of

{\left[ {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x - {x^{1/2}}}}} \right]^{10}}

, x

\ne

1, is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 18 Mar, Evening shift · Q26

JEE Main 202118 Mar, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The term independent of x in the expansion of

{\left[ {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x - {x^{1/2}}}}} \right]^{10}}

, x

\ne

1, is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.