<s>[INST] How does this simplify to 1? I am working on this differetiation problem:
$ \frac{d}{dx}x(1-\frac{2}{x})$
and I am currently stuck at this point:
$1\cdot \left(1-\frac{2}{x}\right)+\frac{2}{x^2}x$
Symbolab tells me this simplifies to $1$ but I do not understand how. I am under the impression that;
$1\cdot \left(1-\frac{2}{x}\right)+\frac{2}{x^2}x \equiv 1- 2x^{-x^2}-2^{-x}$
 [/INST] $1\cdot \left(1-\frac{2}{x}\right)+\frac{2}{x^2}x $
= $1\cdot 1- 1 \cdot \frac{2}{x} + \frac{2}{x}$
= $1- \frac{2}{x} + \frac{2}{x}$
=$1$
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