The coefficient of x^−5 in the binomial expansion of ((x + 1)/(x^(2/3) - x^(1/3) + 1) - (x - 1)/(x - x^(1/2)))¹⁰, where x ≠ 0, 1, is:

Binomial Theorem and Its Simple Applications: JEE Main 2017 Mathematics question

JEE Main 2017 · 9 Apr, Morning shift · Q2912

JEE Main 20179 Apr, Morning shiftMathematicsHardBinomial Theorem and Its Simple Applications131× since 2002

The coefficient of x⁻⁵ in the binomial expansion of

{\left( {{{x + 1} \over {{x^{{2 \over 3}}} - {x^{{1 \over 3}}} + 1}} - {{x - 1} \over {x - {x^{{1 \over 2}}}}}} \right)^{10}},

where x

\ne

0, 1, is :

JEE Main 2017 · 9 Apr, Morning shift · Q2912

JEE Main 20179 Apr, Morning shiftMathematicsHardBinomial Theorem and Its Simple Applications131× since 2002

The coefficient of x⁻⁵ in the binomial expansion of

{\left( {{{x + 1} \over {{x^{{2 \over 3}}} - {x^{{1 \over 3}}} + 1}} - {{x - 1} \over {x - {x^{{1 \over 2}}}}}} \right)^{10}},

where x

\ne

0, 1, is :