# How do you find (2i)(1-4i)(1+i)?

Mar 26, 2016

$\text{ } = 6 + 10 i$

#### Explanation:

Take it one step at a time remembering that ${i}^{2} = - 1$

Consider:$\text{ } \left(1 - 4 i\right) \left(1 + i\right)$

$\text{ "=1+i-4i-4i^2" " =" } 5 - 3 i$

Next stage

$\text{ "2i(5-3i)" "=" } 10 i - 6 {i}^{2}$

$\text{ } = 6 + 10 i$