# How do you multiply 5(-i)(-4+6i)?

Aug 10, 2018

$30 + 20 i$

#### Explanation:

$5 \left(- i\right) \left(- 4 + 6 i\right)$

$- 5 i \left(- 4 + 6 i\right)$

Distribute the $- 5 i$:
$20 i - 30 {i}^{2}$

We know that ${i}^{2} = - 1$, so:
$20 i - 30 \left(- 1\right)$

$20 i + 30$

Rewrite in standard form:
$30 + 20 i$

Hope this helps!