# How do you simplify -12q(12-q)?

Oct 2, 2015

The answer is $12 {q}^{2} - 144 q$.

#### Explanation:

$- 12 q \left(12 - q\right)$

Apply the distributive property $a \left(b + c\right) = a b + a c$, where $a = - 12 q , b = 12 , c = - q$..

$\left(- 12 q\right) \left(12\right) + \left(- 12 q\right) \left(- q\right) =$

$- 144 q + 12 {q}^{2} =$

Rearrange so the terms are arranged in descending order of power.

$12 {q}^{2} - 144 q$