On Thursday, February 26, 2015 at 8:32:11 AM UTC-7, Paul Royik wrote:
>
> What is the best way to convert sqrt(x)*sqrt(x-4) to sqrt(x^2-4x) or
> (x^2+5x+4)/sqrt(x)/sqrt(x-4) to (x^2+5x+4)/sqrt(x^2-4x)
>
> I tried replace, but it doesn't work in second case.
>
Be careful, they aren't equal for all values of x, but subs() will do this
if you are willing to be explicit...
#!/usr/bin/env python
> from sympy import *
> print sympify('(x**2 + 5*x + 4) / sqrt(x) /
> sqrt(x-4)').subs(sympify('sqrt(x)*sqrt(x-4)'), sympify('sqrt(x**2 - 4*x)'))
Output:
(x**2 + 5*x + 4)/sqrt(x**2 - 4*x)
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