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, where x ≠ 0, 1 is equal to _ _ _ _ _ _ _.

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

JEE Main 2021 · 25 Jul, Morning shift · Q23

JEE Main 202125 Jul, Morning 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}}

, where x

\ne

0, 1 is equal to ______________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 25 Jul, Morning shift · Q23

JEE Main 202125 Jul, Morning 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}}

, where x

\ne

0, 1 is equal to ______________.

Your answerType your answer. Integers and decimals are accepted.