# Changing order of factors affects sympy expansion

there is a strange behaviour when using sympy inside sage:

```
from sympy import Symbol, exp, I
import sympy
x = Symbol("x", real=True)
```

then, asking for `exp(I*8*x).expand(complex=True)`

I get

```
I*sin(8*x) + cos(8*x)
```

that's ok. however, asking for `exp(8*I*x).expand(complex=True)`

, I get

```
I*exp(-8*im(x))*sin(8*re(x)) + exp(-8*im(x))*cos(8*re(x))
```

Why in the second case it forgets that $x$ is real? Is this behaviour expected?

this was causing me real trouble in another context, since I was calling functions from a package that itself uses sympy, and they didn't work unless some special ordering of the arguments was given.

I'm on SMC with sagemath kernel 6.10. I've checked in Live SymPy, the 1st result is obtained in both cases.

`(1*I).parent()`

gives SR, while`(I*1).parent()`

gives 'ImaginaryUnit' object has no attribute 'parent'. My guess is that given a product it is searching for the parent of each operand sequentially, and it fails since I has no parent. Is this kind of shortcut useful in another context?