The term independent of $x$ in the expansion of ${\left(\frac{(\mathrm{x}+1)}{\left({\mathrm{x}}^{2/3}+1-{\mathrm{x}}^{1/3}\right)}-\frac{(\mathrm{x}-1)}{\left(\mathrm{x}-{\mathrm{x}}^{1/2}\right)}\right)}^{10},\mathrm{x}1$ is: [JEE Main 2025, 2 Apr (Shift 1)]

Question

The term independent of $x$ in the expansion of ${\left(\frac{(\mathrm{x}+1)}{\left({\mathrm{x}}^{2/3}+1-{\mathrm{x}}^{1/3}\right)}-\frac{(\mathrm{x}-1)}{\left(\mathrm{x}-{\mathrm{x}}^{1/2}\right)}\right)}^{10},\mathrm{x}>1$ is: [JEE Main 2025, 2 Apr (Shift 1)]

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The term independent of \(x\) in the expansion of \({\left(\frac{(\mathrm{x}+1)}{\left({\mathrm{x}}^{2/3}+1-{\mathrm{x}}…

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