Show that the term independent of x in the expansion of `(x-1/x)^(10) is -252`.

Explanation

To find the term independent of \( x \) in the expansion of \( (x - \frac{1}{x})^{10} \), we can use the Binomial Theorem. The Binomial Theorem states that:

\[ (a + b)^n = \sum_{r=0}^{n} \binom{n}{r} a^{n-r} b^r \]

In our case, we have \( a = x \) and \( b = -\frac{1}{x} \), and \( n = 10 \). Therefore, the expansion is:

...