Question

Multiply and show your work. (3 - 2i)(4 + i).

Answer 1

Is 'i' imaginary?

Answer 2

Btw just distribute them

Answer 3

(a+b)(c+d)=ac+ad+bc+bd

Answer 4

yes the i is imaginary

Answer 5

Then remember that \(i^2 = -1\)

Answer 6

ohh ok

Answer 7

i need help showing the work i know the answer

Answer 8

Assuming i is the imaginary unit, use i as a variable instead.

Answer 9

Just multiply like you would ordinarily, for example:

\[(1-i)(1+2i) = 1*1 + 1*2i - 1*i -i*2i = 1 + 2i - i -2i^2 = 1 +i -2i^2\]Now remember that \(i^2=-1\) and we get:\[1+i-2i^2=1+i-2(-1)=1+i+2=3+i\]

Answer 10

Simplify and show you work \[\sqrt{-24}\]