Question

How do I simplify this?

(1+i)^2/(-3+2i)^2

The answer should be -24/169+10/169i

Please help?

Answer 1

\[\frac{ \left( 1+\iota \right) ^2}{ (-3+2\iota)^2 }=\frac{ 1+\iota^2+2\iota }{ 9+4\iota^2-12\iota }\]
\[\iota^2=-1\]
simplify and rationalize the denominator.

Answer 2

What do I do after this:

\[2i/(5-12i)\]

Answer 3

-24 and 10 must come from 2(5) and 2(-12), but where does the 169 come from?

Answer 4

I guess I don't know what you mean by "rationalize the denominator"

Answer 5

Oh wait nvm I figured it out! Thanks @surjithayer

Answer 6

good

Answer 7

:)