To simplify the expression 3 + 4i – 5 + 2i, we start by combining like terms.
First, we can group the real parts together and the imaginary parts together:
- Real parts: 3 and -5
- Imaginary parts: 4i and 2i
Now, let’s do the calculations:
- For the real parts: 3 – 5 = -2
- For the imaginary parts: 4i + 2i = 6i
Putting it all together, we get:
-2 + 6i
Thus, the simplified expression is -2 + 6i.