# How do you multiply (-5-i)(-2+2i)?

Feb 2, 2016

12 - 8i

#### Explanation:

distribute the brackets in the usual way using FOIL.

Remember that ${i}^{2} = {\left(\sqrt{-} 1\right)}^{2} = - 1$

$\left(- 5 - i\right) \left(- 2 + 2 i\right) = 10 - 10 i + 2 i - 2 {i}^{2}$

$= 10 - 8 i + 2 = 12 - 8 i$