# How do you simplify (-3-4i)^2?

Sep 18, 2016

$- 7 + 24 i$

#### Explanation:

${\left(- 3 - 4 i\right)}^{2}$

To square a binomial, rewrite the problem as the binomial multiplied by the binomial. Do NOT distribute the exponent!
$\left(- 3 - 4 i\right) \left(- 3 - 4 i\right)$

Distribute (FOIL)
$9 + 12 i + 12 i + 16 {i}^{2}$

Combine like terms. ${i}^{2} = - 1$
$9 + 24 i + 16 \cdot - 1$

$9 + 24 i - 16$

$- 7 + 24 i$