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Prove that the complex number ((3+2i)/(2...

Prove that the complex number `((3+2i)/(2-3i)) + ((3-2i)/(2+ 3i))` is purely real.

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To prove that the complex number \(\frac{3+2i}{2-3i} + \frac{3-2i}{2+3i}\) is purely real, we will follow these steps: ### Step 1: Find a common denominator We start by finding a common denominator for the two fractions. The common denominator will be the product of the two denominators: \[ (2 - 3i)(2 + 3i) \] ...
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