Question

How do you simplify `(-7+4i)^2+(12+12i)+(2i)+(5i)`?

Answer 1

You separate the real and imaginary components.

Explanation:

`(-7+4i)^2=(-7+4i)(-7+4i)` `=` `49-56i+16i^2`

`=` `33-56i`, as `16i^2` `=` `-16`.

And simply add the residue `12+19i`, to give:

`33-56i+12+19i` `=` `???`