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Express the following in the form of a+i...

Express the following in the form of a+ib
`(2+3i)/(5-4i)+(2-3i)/(5+4i)`

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AI Generated Solution

To express the given expression \((2 + 3i)/(5 - 4i) + (2 - 3i)/(5 + 4i)\) in the form of \(a + bi\), we will follow these steps: ### Step 1: Find a common denominator The common denominator for the two fractions is \((5 - 4i)(5 + 4i)\). ### Step 2: Rewrite the expression with the common denominator \[ \frac{(2 + 3i)(5 + 4i) + (2 - 3i)(5 - 4i)}{(5 - 4i)(5 + 4i)} ...
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