Complex Subtraction 764073

1. **State the problem:** We need to subtract the complex numbers $$(-7 + 9i)$$ and $$(-7 + 5i)$$. 2. **Recall the rule for subtracting complex numbers:** Subtract the real parts and the imaginary parts separately. 3. **Apply the subtraction:** $$(-7 + 9i) - (-7 + 5i) = (-7 - (-7)) + (9i - 5i)$$ 4. **Simplify the real part:** $$-7 - (-7) = -7 + 7 = 0$$ 5. **Simplify the imaginary part:** $$9i - 5i = (9 - 5)i = 4i$$ 6. **Combine the results:** $$0 + 4i = 4i$$ **Final answer:** $$4i$$