Express the following complex numbers in the standard form `a+i b :(3+2i)/(-2+i)`

Explanation

To express the complex number \((3 + 2i)/(-2 + i)\) in standard form \(a + ib\), we will follow these steps:

### Step 1: Multiply the numerator and denominator by the conjugate of the denominator
The conjugate of \(-2 + i\) is \(-2 - i\). We will multiply both the numerator and denominator by this conjugate.

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