It seems like you've provided pairs of complex numbers (z₁ and z₂) along with some notation that is not entirely clear. However, I can help you analyze these complex numbers or perform operations like addition, subtraction, multiplication, or finding their magnitudes or conjugates.
Pair 1:
- \( z_{1} = 7 + 5i \)
- \( z_{2} = 7 - 3i \)
a) Operations:
Addition: \[ z_{1} + z_{2} = (7 + 5i) + (7 - 3i) = 14 + 2i \]
Subtraction: \[ z_{1} - z_{2} = (7 + 5i) - (7 - 3i) = 0 + 8i = 8i \]
Pair 2:
- \( z_{1} = -5 - i \)
- \( z_{2} = 1 - 2i \)
b) Operations:
Addition: \[ z_{1} + z_{2} = (-5 - i) + (1 - 2i) = -4 - 3i \]
Subtraction: \[ z_{1} - z_{2} = (-5 - i) - (1 - 2i) = -6 + i \]
Let me know if you need further analysis or any specific operations performed on these complex numbers!