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Question
Write the following in the rectangular form:
`(10 - 5"i")/(6 + 2"i")`
Solution
`(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")`
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