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

To add the complex numbers \((-3 + 6i)\) and \((5 - 2i)\), you combine the real parts and the imaginary parts separately.

Real parts: \[ -3 + 5 = 2 \]

Imaginary parts: \[ 6i - 2i = 4i \]

Putting it all together, the sum is: \[ 2 + 4i \]

So, \((-3 + 6i) + (5 - 2i) = 2 + 4i\).