On Wednesday, October 18, 2017 at 3:08:32 AM UTC+3, EKW wrote:
>
> >>> from sympy import *
> >>> x = Symbol('x')
>
> >>> p = (x**2 + x) / ((x - 1)*(x + 1))
> >>> print(p)
> (x**2 + x)/((x - 1)*(x + 1))
> >>> p = simplify(p)
> >>> print(p)
> x/(x - 1)
>
>
> This simplification is only valid for x != -1, and I haven't specified any 
> restrictions on the range of x. Was this done on purpose, and if so why?
>

Defining x as a Symbol makes it different from any number.

>>> from sympy import *
>>> x = Symbol('x')
>>> x != -1
True

It is possible to substitute a number for x, but then then the expression 
will also be different.

Kalevi Suominen

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