Question

. (15 + 7i) - (4 - 3i)

Explanation:

Step1: Distribute the negative sign

To subtract the complex numbers, we first distribute the negative sign to the second complex number: \((15 + 7i) - (4 - 3i)=15 + 7i - 4 + 3i\)

Step2: Combine like terms

Combine the real parts and the imaginary parts separately. The real parts are \(15-4 = 11\) and the imaginary parts are \(7i+3i = 10i\)

Answer:

\(11 + 10i\)