(-3+6i)-(5-2i)

To simplify the expression \((-3 + 6i) - (5 - 2i)\), follow these steps:

1. Distribute the negative sign to both terms in the second set of parentheses: \[ (-3 + 6i) - 5 + 2i \]

2. Now, combine the real parts and the imaginary parts:

   • Real parts: \(-3 - 5 = -8\)
   • Imaginary parts: \(6i + 2i = 8i\)

3. Combine the results: \[ -8 + 8i \]

Thus, the simplified expression is: \[ -8 + 8i \]