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Term independent of x in [(x+1)/(x^(2/3) - x^(1/3) + 1) - (x-1)/(x - x^(1/2))]^10

The same question, asked 2 times: 2021 Paper 10, 2 Apr 2025. Every wording below, oldest first.

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  1. Question 1

    2021 Paper 10

    84
    The term independent of xx in the expansion of [x+1x2/3−x1/3+1−x−1x−x1/2]10,x≠1\left\lbrack \frac{x + 1}{x^{2/3}-x^{1/3}+ 1}-\frac{x - 1}{x -x^{1/2}} \right\rbrack^{10},x \neq 1, is equal to

  2. Question 2

    2 Apr 2025

    56
    The term independent of xx in the expansion of ((x+1)(x23+1−x13)−(x−1)(x−x12))10,x>\left( \frac{\left( x+ 1 \right)}{\left( x^{\frac{2}{3}}+ 1 -x^{\frac{1}{3}} \right)}-\frac{\left( x- 1 \right)}{\left( x-x^{\frac{1}{2}} \right)} \right)^{10},x> 11 is:

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