Updates:
Status: Started
Owner: mattpap
Cc: -mattpap
Labels: Polynomial Milestone-Release0.7.0 NeedsReview
Comment #3 on issue 2054 by mattpap: does factor need to use cancel?
http://code.google.com/p/sympy/issues/detail?id=2054
Since a183d25e77aa5a4490d9d1290a070f8e8528d7c3 in polys11, factor() uses
together() internally. This way we get:
In [1]: factor(1/(x**2 + 2*x + 1/x) - 1)
Out[1]:
⎛ 2 3⎞
-⎝1 - x + 2⋅x + x ⎠
────────────────────
2 3
1 + 2⋅x + x
In [2]: str(_)
Out[2]: -(1 - x + 2*x**2 + x**3)/(1 + 2*x**2 + x**3)
In [3]: ee = I*(exp(I*x) - exp(-I*x))/(exp(I*x) + exp(-I*x)) -
I*(exp(I*x)/2 - exp(-I*x)/2)/(exp(I*x)/2 + exp(-I*x)/2)
In [4]: factor(_)
Out[4]: 0
In [5]: factor(ee.diff(x))
Out[5]: 0
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