# How do you simplify  (9-7i)-(10-6i)?

Jul 13, 2018

$- 1 - i$

#### Explanation:

Given: $\left(9 - 7 i\right) - \left(10 - 6 i\right)$

$\left(9 - 7 i\right) - \left(10 - 6 i\right) = \left(9 - 10\right) + \left(- 7 i - \left(- 6 i\right)\right)$

$= - 1 - 7 i + 6 i = - 1 - i$

$- 1 - i$

#### Explanation:

$\left(9 - 7 i\right) - \left(10 - 6 i\right)$

$= 9 - 7 i - 10 + 6 i$

$= - 1 - i$

Jul 13, 2018

$- 1 - i$

#### Explanation:

Let's distribute the negative sign to the second set of parenthesis to get

$9 - 7 i - 10 + 6 i$

The good thing is that, for the most part we can treat the imaginary unit like variables. We combine the corresponding parts to get

$- 1 - i$

Hope this helps!