Question

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

Answer 1

The answer is `12q^2-144q`.

Explanation:

`-12q(12-q)`

Apply the distributive property `a(b+c)=ab+ac`, where `a=-12q, b=12, c=-q`..

`(-12q)(12)+(-12q)(-q)=`

`-144q+12q^2=`

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

`12q^2-144q`