SOLUTION: Write the following expression in standard form: i+i/(2-i)^2

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Question 998089: Write the following expression in standard form: i+i/(2-i)^2
Answer by Alan3354(69443) About Me  (Show Source):
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Write the following expression in standard form: i+i/(2-i)^2
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= 2i/(2-i)^2
= 2i/(4 - 4i + i^2)
= 2i/(3 - 4i)
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= 2i(2+4i)/(9+16)
= (-8 + 4i)/25