Question

How do you factor `3(x-2) - 4x(2-x)`?

Answer 1

`(4x+3)(x-2)`

Explanation:

Factor a `-1` term out of the `(2-x)`. This will turn it into `-(x-2)`.

`3(x-2)-4x(-(x-2))`

`=3(x-2)+4x(x-2)`

Now, this resembles what would come out of a factor by grouping problem. Notice how the `(x-2)` term is common to both the `3(x-2)` and the `4x(x-2)`.

`=(4x+3)(x-2)`