Complex number calculation in algebraic form with substitution

[Purpleshinyrock]

Hello, I have this (I am solving scholarship exams)math problem and I don't quite know what to do with it , Could You please help?

The exercise is about complex numbers and it says:
Calculate

in the algebraic form(a+bi)

I thought on applying substitution since -1=i^2 and z is the real part but don't know what to do with the w.
Heres the solution:

 

[jedishrfu]

The first image appears to be a broken link and so we can't really help you with this yet.

 

[Purpleshinyrock]

The first image appears to be a broken link and so we can't really help you with this yet.

I am sorry.
This is the image

 

[PeroK]

I am sorry.
This is the imageView attachment 280599

I assume you are given $w$ and $z$?

 

[Purpleshinyrock]

yes

I assume you are given $w$ and $z$?

w=1´+2i and z=1+3i

 

[PeroK]

yes

w=1´+2i and z=1+3i

Okay, what don't you understand about the given solution?

 

[mfb]

w=1´+2i and z=1+3i

That would have been valuable information in the first post.
The solution just plugs that into the expression and then simplifies.

 

[Purpleshinyrock]

Okay, what don't you understand about the given solution?

I thought I needed to apply a concept of complex numbers , I am so sorry I did what you where implying and got to the result I din't think of the pluggin the values in.

 

[PeroK]

I thought I needed to apply a concept of complex numbers , I am so sorry I did what you where implying and got to the result I din't think of the pluggin the values in.

Yes, that's all there is to it.

 

[nucl34rgg]

One property you need to know is that i^2=-1 so you can use this to simplify the power expression. You also need to know about complex conjugation.