<p>These problems have to do with the complex conjugates theorem.
x=r+si
z=u+vi
The conjugate of x=r-si
The conjugate of z=u-vi</p>
<p>1) Prove that the conjugate of (x+z)= the conugate of x plus the conjugate of z.
2) Prove that the conjucate of (xz)= the conugate of x times the conjuagte of z</p>
<p>Please explain your work as I am still not understanding how to find the conjucate of r+si+u+vi, in number 1.</p>