Answer
$\frac{3+i}{5}$
Work Step by Step
Multiply the top and bottom of the term by the conjugate of the denominator. Then combine like terms and divide to simplify.
$\frac{2}{3-i}$
$\frac{2}{3-i}(\frac{3+i}{3+i})$
$\frac{6+2i}{9-3i+3i-i^2}$
$\frac{6+2i}{10}$
$\frac{2(3+i)}{10}$
$\frac{3+i}{5}$
