Complex Subtraction D289Ff

1. The problem asks: In subtraction for complex numbers, what do we do with the subtrahend? 2. When subtracting complex numbers, the subtrahend is the number being subtracted. 3. The rule is: To subtract complex numbers, we change the sign of each part of the subtrahend (both real and imaginary parts) and then add. 4. For example, if we have $$z_1 = a + bi$$ and $$z_2 = c + di$$, then subtraction is: $$z_1 - z_2 = (a + bi) - (c + di) = (a - c) + (b - d)i$$ 5. This is equivalent to adding the additive inverse of the subtrahend: $$z_1 - z_2 = z_1 + (-z_2) = (a + bi) + (-c - di)$$ 6. So, the subtrahend $$z_2$$ is changed to $$-z_2$$ by negating both its real and imaginary parts. 7. Then, you add the resulting complex number to the minuend. This ensures correct subtraction of complex numbers.