Having problems with complex numbers

[solar jolt]

the text reads as follows:
Given are the complex numbers z1=a+bi and z2=c+di.
Demonstrate.

[solar jolt]

how would i go about getting the correct answer?

[warm shore]

I can give you an example with the first, you can do the rest.
$$\overline{z_1+z_2}=\overline{(a+bi)+(c+di)}=\overline{(a+c)+i(b+d)}$$
$$=(a+c)-i(b+d)=a+c-bi-di=(a-bi)+(c-di)=\overline{z_1}+\overline{z_2}$$

[fallow quest]

Crystopher