In[]:=
Ass=Assumptions{(θ|
′
θ
|
μ
1
|
μ
2
|γ|
′
γ
|f|g|
′
f
|
′
g
)∈}
Out[]=
Assumptions{(θ|
′
θ
|
μ
1
|
μ
2
|γ|
′
γ
|f|g|
′
f
|
′
g
)∈}
In[]:=
A:=-
(γ+θ)

f(1-
μ
1
)
′
θ
In[]:=
B:=-
(γ+θ)

(1-
μ
1
)
′
f
In[]:=
F:=
γ

μ
2
′
g
In[]:=
FullSimplify[Conjugate[A+B+F],Ass]
Out[]=
-γ

Conjugate
μ
2
′
g
+
θ

(-1+
μ
1
)(
′
f
+f
′
θ
)
In[]:=
FullSimplify[Conjugate[A+B],Ass]
Out[]=
-(γ+θ)

(-1+
μ
1
)(
′
f
-f
′
θ
)
In[]:=
FullSimplify[Conjugate[B+F],Ass]
Out[]=
-γ


-θ

(-1+
μ
1
)
′
f
+
μ
2
′
g

In[]:=
FullSimplify[ComplexExpand[FullSimplify[Conjugate[A+B+F],Ass]],Ass]
Out[]=
-γ


μ
2
′
g
+
-θ

(-1+
μ
1
)(
′
f
-f
′
θ
)
In[]:=
FullSimplify[Map[Conjugate,A+B+F],Ass]
Out[]=
-(γ+θ)


θ

μ
2
′
g
+(-1+
μ
1
)(
′
f
-f
′
θ
)