Question

(-6 + 4i) - (5 - 2i)

Explanation:

Step1: Distribute the negative sign

To subtract the complex numbers, we first distribute the negative sign to the second complex number: \((-6 + 4i) - (5 - 2i)=-6 + 4i - 5 + 2i\)

Step2: Combine like terms (real and imaginary parts)

For the real parts: \(-6 - 5=-11\)
For the imaginary parts: \(4i + 2i = 6i\)
So, combining these results, we get \(-11 + 6i\)

Answer:

\(-11 + 6i\)