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Mathematics · 2017

JEE Main · 9 April 2017, Shift 1 · Q67

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:

The coefficient of $\displaystyle x^{-5}$ in the binomial expansion of $\displaystyle \left(\frac{x+1}{x^{\frac{2}{3}}-x^{\frac{1}{3}}+1}-\frac{x-1}{x-x^{\frac{1}{2}}}\right)^{10}$, where $\displaystyle x \neq 0,1$, is :
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.