Final answer:
The result of subtracting the complex numbers (5 - 7i) and (2 - 5i) is (3 - 2i), where we separate and subtract the real and imaginary components individually.
Step-by-step explanation:
To find the quotient of the complex numbers (5 - 7i) and (2 - 5i), we actually need to subtract them, as indicated by the minus sign between the two numbers in the question. However, due to a potential typo in the question, which asks for the quotient but provides a subtraction operation, we will proceed with subtraction to clarify the process.
Let's begin by separating the real and imaginary components of the complex numbers and subtracting them accordingly:
- Subtract the real parts: 5 - 2 = 3
- Subtract the imaginary parts: -7i - (-5i) = -7i + 5i = -2i
Therefore, the result of the subtraction (5 - 7i) - (2 - 5i) is (3 - 2i).