# How do you simplify 3/(7 - i)?

The answer is $\frac{21 + 3 i}{50}$
$\frac{3}{7 - i} = \frac{3 \left(7 + i\right)}{\left(7 - i\right) \left(7 + i\right)} = \frac{21 + 3 i}{{7}^{2} - {i}^{2}} = \frac{21 + 3 i}{49 + 1} = \frac{21 + 3 i}{50}$