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Fill in the Blanks
The number `(1 - i)^3/(1 - i^2)` is equal to ______.
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Solution
The number `(1 - i)^3/(1 - i^2)` is equal to –2.
Explanation:
`(1 - i)^3/(1 - i^2) = (1 - i)^3/((1 - i)(1 + i + i^2))`
= `(1 - i)^2/((1 + i - 1))`
= `(1 + i^2 - 2i)/i`
= `(1 - 1 - 2i)/i`
= `(-2i)/i`
= –2
Concept: Algebraic Operations of Complex Numbers
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