Question

Multiple each of the following and write the answers in standard form.
1.(1-4i)(-6+3i)
2. (1-3i)(1+3i)

Answer 1

1.(1-4i)(-6+3i)
= -6 + 3i + 24i - 12i^2
= -6 + 27i + 12 , because i^2 = -1
= 6 + 27i

do #2 the same way

Answer 2

treat them like regular binomials, remembering that i^2 = -1
I'll do one, and then you can do any others in the same way.
(1-4i)(-6+3i)
= 1(-6+3i) - 4i(-6+3i)
= -6 + 3i + 24i - 12i^2
= -6 + 27i + 12
= 6 + 27i

You can always go to some site like wolframalpha.com to verify your answers. Just type it in and hit return.