Question

Factor 6c to third power - 12c to thesec

Answer 1

Factor out the GCF (3cd) to get 3cd(2c^2-4cd+3)
This doesn't seem to factor any further, so there's your answer.
I think... tell me if I'm wrong someone. :3

Answer 2

Find greatest common factor because
ab+ac=a(b+c) and also therefor
ab+ac+ad=a(b+c+d)

so

6c^3d=2*3*c*c*c*d
12c^2d^2=2*2*3*c*c*d*d
3cd=3*c*d

common to all is 3*c*d or 3cd

3cd(2c²)+3cd(-4cd)+3cd(1)=
3cd(2c-4cd+1)