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Question
Simplify the following and express in the form a + ib:
`5/2"i"(- 4 - 3 "i")`
Solution
`5/2"i"(- 4 - 3 "i")`
= `5/2(- 4"i" - 3 "i"^2)`
= `5/2[-4"i" - 3(-1)]` ...[∵ i2 = – 1]
= `5/2(3 - 4"i")`
= `15/2 - 10"i"`
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