If I were to do this problem, I would work with CiS [=r {cos(x) + i sin(x)}].Let z,w belong to all C, complex numbers. Prove that |z + w|^2 - |z- ¯¯¯¯w |^2 = 4Re(z)Re(w).
The "w" is supposed to be the conjugate of w. Thank you!
It is unfortunate that this post is gabbled. I wish Ray66 would try to repost.Let z,w belong to all C, complex numbers. Prove that |z + w|^2 - |z- ¯¯¯¯w |^2 = 4Re(z)Re(w).
The "w" is supposed to be the conjugate of w.
I believe the claim is that [MATH]|z + w|^2 - |z - \overline{w}|^2 = 4Re(z)Re(w)[/MATH]. I think that because this interpretation is true, as well as because that is what you appear to be saying about the conjugate of w.Let z,w belong to all C, complex numbers. Prove that |z + w|^2 - |z- ¯¯¯¯w |^2 = 4Re(z)Re(w).
The "w" is supposed to be the conjugate of w.
Thank you!
I ∣z+w∣2=(z+w)(z+w)=∣z∣2+zw+wz+∣w∣2Let z,w belong to all C, complex numbers. Prove that |z + w|^2 - |z- w |^2 = 4Re(z)Re(w). ........ edited