JEE PYQ: Binomial Theorem Question 9
Question 9 - 2021 (18 Mar Shift 2)
The term independent of $x$ in the expansion of $\left(\frac{x+1}{x^{2/3} - x^{1/3} + 1} - \frac{x-1}{x - x^{1/2}}\right)^{10}$, $x \neq 1$, is equal to ____.
Show Answer
Answer: 210
Solution
Simplifies to $(x^{1/3} - x^{-1/2})^{10}$. For term independent of $x$: $r = 4$. $T_5 = {}^{10}C_4 = 210$.