Question

How do you simplify `(3-2i)/(-4-i)`?

Answer 1

`(-10+11i)/17`

Explanation:

`(3-2i)/(-4-i) * (-4+i)/(-4+i)`
multiply by its conjugate

remember that `color(orange)(i^2=-1)`

`(-12+3i+8i-2i^2)/(16-4i+4i-i^2)=(-12+11i-2(-1))/(16-(-1))=(-10+11i)/17`