Question

How do you simplify `(1 + i)(2 - 3i)`?

Answer 1

`5-i`

Explanation:

For 2 complex numbers in rectangular form, we may use the rule to obtain their product :

`(a+ib)(x+iy)=ax-by+i(bx+ay)`.

So in this particular case we get ;

`(1+i)(2-3i)=2+3+i(2-3)`

`=5-i`.