Yes, the two expressions are equivalent.

[v_pino]

Homework Statement

I'm part way through a problem and got the answer $$P_x=c_+^* c_-+c_-^*c_+$$.
But the answer should be $$2Re(c+^*c_-)$$.

Are the two equivalent?

Homework Equations

$$c+c^*=2Re(c)$$

 

[Redbelly98]

Are the two equivalent?

That depends. Is c_-*·c₊ equal to (c₊*·c_-)* ? If so, then you can apply:

Homework Equations

$$c+c^*=2Re(c)$$

 

[conquest]

Just complex conjugate on of the both terms