# How do you simplify (2-9i)(9-6i) and write the complex number in standard form?

Jul 26, 2016

$\left(2 - 9 i\right) \left(9 - 6 i\right) = - 36 - 93 i$

#### Explanation:

Using that ${i}^{2} = - 1$:

$\left(2 - 9 i\right) \left(9 - 6 i\right)$

$= 18 - 12 i - 81 i + 54 {i}^{2}$

$= 18 - 12 i - 81 i - 54$

$= - 36 - 93 i$