# How do you simplify complex number (-2+4i)-(3+9i)?

##### 1 Answer

$- 5 - 5 i = - 5 \left(1 + i\right)$

#### Explanation:

We start with:

$\left(- 2 + 4 i\right) - \left(3 + 9 i\right)$

We can distribute the minus sign:

$- 2 + 4 i - 3 - 9 i$

and now combine like terms

$- 5 - 5 i = - 5 \left(1 + i\right)$