\frac{2-3i}{3+i}

asked by guest
on Sep 21, 2024 at 4:26 am



You asked:

Evaluate the expression: \(\frac{2 - 3 i}{3 + i}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{2 - 3 i}{3 + i} = \frac{\left(2 - 3 i\right) \left(3 - i\right)}{10} \)

Expanded

\[\frac{2 - 3 i}{3 + i} = \frac{3}{10} - \frac{11 i}{10}\]

Factored

\[\frac{2 - 3 i}{3 + i} = \left(\frac{1}{5} - \frac{3 i}{10}\right) \left(3 - i\right)\]

\(i\) is the imaginary unit, defined as \(i^2 = -1\).

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