Question

How do you simplify `(6 + 2i)(5 - 3i)`?

Answer 1

I found: `36-8i`

Explanation:

You can use the distributive (also known as FOIL) law to multiply the two brackets together remembering that `i^2=-1`;
so:
`(6+2i)(5-3i)=(6*5)-(3*6i)+(2*5i)-(3i*2i)=`
`=30-18i+10i-6i^2=`
`=30-8icolor(red)(+6)=`
`=36-8i`