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Complex numbers


I want to perform this calculation:

In[1]:=z1 = a1 + b1 I
Out[1]=a1 + \[ImaginaryI] b1
In[3]:=z2 = a2 + b2 I
Out[3]=a2 + \[ImaginaryI] b2
In[19]:=Abs[(z1 - z2)/(1 - z1 Conjugate[z2])]

This should output 1! But it doesn't work...

Also, Abs[a1+b1 I] doesn't get the right result.
Any ideeas?


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