I want to get the modulus of following
(1+(x+I*y)/2+(x+I*y)^2/12)/(1-(x+I*y)/2+(x+I*y)^2/12)
I use
Abs[(1+(x+I*y)/2+(x+I*y)^2/12)/(1-(x+I*y)/2+(x+I*y)^2/12)]
But I always get
2
x + I y (x + I y)
1 + ------- + ----------
2 12
Out[52]= Abs[-------------------------]
2
-x - I y (x + I y)
1 + -------- + ----------
2 12
Can someone help me?