Question

Factor 4x^2 -6w+2x-12xw

Answer 1

We could break this up into
(4x^2 - 6w) + (2x - 12xw)
The only thing the first term has in common is a 2. The second term has a 2 and an x in common. So:

2(2x^2 - 3w) + 2x(1 - 6w)

Answer 2

2(2x+1)(x-3w)