# How do you simplify (6 + 2i)(5 - 3i)?

Nov 24, 2015

I found: $36 - 8 i$

#### Explanation:

You can use the distributive (also known as FOIL) law to multiply the two brackets together remembering that ${i}^{2} = - 1$;
so:
$\left(6 + 2 i\right) \left(5 - 3 i\right) = \left(6 \cdot 5\right) - \left(3 \cdot 6 i\right) + \left(2 \cdot 5 i\right) - \left(3 i \cdot 2 i\right) =$
$= 30 - 18 i + 10 i - 6 {i}^{2} =$
$= 30 - 8 i \textcolor{red}{+ 6} =$
$= 36 - 8 i$