Question

Write the following in the rectangular form:

`(10 - 5"i")/(6 + 2"i")`

Answer 1

`(10 - 5"i")/(6 + 2"i") xx (6 - 2"i")/(6 - 2"i") = (60 - 20"i" - 30"i" + 10"i"^2)/((6)^2 - (2"i")^2`

= `(60 - 50"i" - 10)/(36 + 4)`

= `(50 - 50"i")/40`

= `(50(1 - "i"))/40`

= `5/4 (1 - "i")`