Question

How do you multiply `-(2+2i)^2`?

Answer 1

`-8i`

Explanation:

distribute the bracket using, for example, the FOIL method.

`rArr-(2+2i)^2=-(4+8i+4i^2)=-4-8i-4i^2`

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(i^2=(sqrt(-1))^2=-1)color(white)(a/a)|)`

`rArr-4-8i-4i^2=-4-8i+4=-8i`

`rArr-(2+2i)^2=-8i`