3-i/1+i , give answer in cartesian form?

Question

after i did the calculations i got 1-2i... can anyone see if this is right?

also, how do i put it into cartesian form?

Answer 1

(3 - i)(1 - i) / (1 + i)(1 - i)
(3 - 4i + i²) / (1 - i²)
(2 - 4i) / 2
1 - 2i

Answer 2

Mulitiply by (1 - i)/(1 - i):

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

(2 - 4i)/2 = 1 - 2i

Your answer is correct.

In Cartesian form, this is (1, -2).

Answer 3

multiply both top and bottom by 1 - i

[ (3-i) (1-i)] / [ (1+i) (1-i)]

FOIL

(i^2 - 4i + 3) / (1 - i^2)

we know that i^2 = -1

(-1 - 4i + 3) / (1 - (-1))

siplify
(2 - 4i) / (2)

1 - 2i

yes, your correct! ;-)

i don't know how to put it in cartesian form. sorry