# How do you use the Distributive Property to rewrite each expression -6a(2b+5c)?

Dec 6, 2016

$- 12 a b - 30 a c$

#### Explanation:

For this problem you "distribute" the term $- 6 a$ across each term in the parenthesis:

$- 6 a \left(2 b + 5 c\right) \to \left(- 6 a\right) \left(2 b\right) + \left(- 6 a\right) \left(5 c\right) \to$

$\left(- 6 \cdot 2 a b\right) + \left(- 6 \cdot 5 a c\right) \to - 12 a b + - 30 a c \to$

$- 12 a b - 30 a c$