Comment #4 on issue 1985 by [email protected]: as_real_imag() gives wrong answer when expanding quotient
http://code.google.com/p/sympy/issues/detail?id=1985

The new assumptions don't help. But note that re(e), im(e) gives a correct result:

In [1]: e = (x+x*I)/(1+I)

In [2]: re(e), im(e)
Out[2]:
⎛  ⎛x + ⅈ⋅x⎞    ⎛x + ⅈ⋅x⎞⎞
⎜re⎜───────⎟, im⎜───────⎟⎟
⎝  ⎝ 1 + ⅈ ⎠    ⎝ 1 + ⅈ ⎠⎠

so I think that deprecating as_real_imag would be a good thing.

"There should be one-- and preferably only one --obvious way to do it."

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