Question

What does `((3-2i)*(5-6i))/i` equal?

Answer 1

`-28-3i`

Explanation:

`color(orange)"Reminder"color(white)(x)i^2=(sqrt(-1))^2=-1`

`"expand the factors on the numerator"`

`rArr(15-28i+12i^2)/i`

`=(3-28i)/i`

`"multiply numerator/denominator by "i`

`=(i(3-28i))/i^2`

`=(28+3i)/(-1)=-28-3i`