What is the sum of 12 – 5i and –3 + 4i?

Answer  

The sum of 12 – 5i and –3 + 4i  is  9- i

Step-by-step explanation:

Given : Two complex numbers 12 – 5i and –3 + 4i

We have to find the sum of 12 – 5i and –3 + 4i

Consider the given complex numbers 12 – 5i and –3 + 4i

Sum is 12 – 5i + ( –3 + 4i )

Apply plus- minus rule , we have,

= 12 – 5i  –3 + 4i

Group like terms ,

= 12 -3 -5i+ 4i

Adding similar elements, we have,

= 9- i

Thus, The sum of 12 – 5i and –3 + 4i  is  9- i