# How do you use the distributive property to simplify 3k(-xy+-5)?

Aug 10, 2015

$3 k \left(- x y \pm 5\right) = - 3 k x y \pm 15 k$

#### Explanation:

The distributive property (of multiplication over addition or subtraction) says:
$\textcolor{w h i t e}{\text{XXXX}}$$a \left(b \pm c\right) = a b \pm a c$

For the given expression: $3 k \left(- x y \pm 5\right)$
$a = 3 k$$\textcolor{w h i t e}{\text{XXXX}}$$b = \left(- x y\right)$$\textcolor{w h i t e}{\text{XXXX}}$$c = 5$

So
$\textcolor{w h i t e}{\text{XXXX}}$$3 k \left(- x y \pm 5\right) = - 3 k x y \pm 15 k$