Question: Write the following expression as a single complex number.
$(-4 + 3i) - (5 + 2i)$
-9 + i
1 + i
-9 + 5i
1 + 5i
1. **State the problem:** We need to simplify the expression $$(-4 + 3i) - (5 + 2i)$$ and write it as a single complex number.
2. **Recall the rule for subtracting complex numbers:** To subtract complex numbers, subtract their real parts and their imaginary parts separately.
3. **Apply the subtraction:**
$$(-4 + 3i) - (5 + 2i) = (-4 - 5) + (3i - 2i)$$
4. **Simplify the real and imaginary parts:**
$$-4 - 5 = -9$$
$$3i - 2i = i$$
5. **Write the final answer:**
$$-9 + i$$
So, the expression simplifies to $$-9 + i$$.