Question

How do you factor `-6x^2+6x^3`?

Answer 1

`6x^2(x-1)`

Explanation:

First, you should try to 'pull out of the parentheses' as much as you can: in this case it's `6x^2`. So we divide each monomial by `6x^2`:
`-6x^2+6x^3=6x^2(-1+x)`,
We prefer the factors to be of the form `(x- text(something) )` so here we can just rearrange the last factor to obtain `6x^2(x-1)`.