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

Explanation

To express the complex number \(\frac{2+3i}{2-i}\) in the form \(a + ib\), we can follow these steps:

### Step 1: Multiply by the Conjugate
We start by multiplying the numerator and the denominator by the conjugate of the denominator. The conjugate of \(2 - i\) is \(2 + i\).

\[ \frac{2 + 3i}{2 - i} \cdot \frac{2 + i}{2 + i} = \frac{(2 + 3i)(2 + i)}{(2 - i)(2 + i)} \]
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