# How do you simplify (2i)(-3+5i)?

Jan 16, 2017

The answer is $- 10 - 6 i$

#### Explanation:

I like to think of treating the $i$ just like it was a variable. Multiply the $2 i$ term through the bracket in the same way you would if it was $x$

$- 6 i + 10 {i}^{2}$

${i}^{2}$ equals -1, so the equation becomes

$- 6 i - 10$ which would usually be written

$- 10 - 6 i$