# How do you simplify (7 - 6i)(2 - 3i)?

Feb 21, 2016

-4 - 33i

#### Explanation:

first distribute brackets using FOIL ( or any method you use )

$\left(7 - 6 i\right) \left(2 - 3 i\right) = 14 - 21 i - 12 i + 18 {i}^{2}$

[Note that: ${i}^{2} = {\left(\sqrt{-} 1\right)}^{2} = - 1$]

hence: 14 -21i - 12i $+ 18 {i}^{2} = 14 - 33 i - 18 = - 4 - 33 i$