Question

How do you simplify `(2 + i)(3 - 5i)`?

Answer 1

`ii-7i`

Explanation:

These can be multiplied in a manner similar to expanding brackets:

`(2+i)(3-5i)=6+3i-10i-5i^2`

Remember that `i = sqrt(-1)` so `i^2=-1`

This will in turn allow us to gather the like terms like so:

`6+5+3i-10i=11-7i`