Question

I'll post this underneath so it makes more sense! (:

Answer 1

\[(\frac{ 1 }{ 2 } + \frac{ \sqrt{3} }{ 2 }i)^2\]

Answer 2

I need to put it into standard form

Answer 3

And somehow I got the same answer, but not squared. :c

Answer 4

please show your steps so that I can help spot where you may have made a mistake

Answer 5

Oh heck, there are a lot of steps. Lool. This might be a while.

Answer 6

please use the draw facility if that makes it any easier

Answer 7

\[= (\frac{ 1 }{ 2 } + \frac{ \sqrt{3} }{ 2 } i)(\frac{ 1 }{ 2 } + \frac{ \sqrt{3} }{ 2 } i) \]
\[\frac{ 1 }{ 2 }(\frac{ 1 }{ 2 } + \frac{ \sqrt{3} }{ 2 } i) + \frac{ \sqrt{3} }{ 2 }i(\frac{ 1 }{ 2 } + \frac{ \sqrt{3} }{ 2 } i) \]

Answer 8

Imma still going.

Answer 9

ok... :)

Answer 10

\[\frac{ 1 }{ 4 } + \frac{ \sqrt{3} }{ 4 } i +\frac{ \sqrt{3} }{ 4 } i +\frac{ 3 }{ 4 } i^2\]
\[\frac{ 1 }{ 4 } +\frac{ \sqrt{3} }{ 2 } i + \frac{ 3 }{ 4 } i^2\]

Answer 11

That last step is where I think I messed up

Answer 12

all correct so far :)

Answer 13

now do you know what \(i^2=?\)

Answer 14

\[\frac{ 1 }{ 4 } + \frac{ \sqrt{3} }{ 2 }i -\frac{ 3 }{ 4 }\]

Answer 15

perfect! now just one more step left...

Answer 16

\[\frac{ 1 }{ 2 } + \frac{ \sqrt{3} }{ 2 } i\]

Answer 17

not quite:\[\frac{1}{4}-\frac{3}{4}\ne\frac{1}{2}\]

Answer 18

1 - 3 = ?

Answer 19

-2

Answer 20

do you see where you went wrong now?

Answer 21

LOL. I always mess up at the end. Thank you so much. (:

Answer 22

yw :) - at least you pursued this to the end - which means you learnt something from it! :D

Answer 23

Veery true! (:

Answer 24

:)