You can put this solution on YOUR website! Factorize the completely:
1. 3g-3t+2mg-2mt
2. 3xsquared + 2x-8
3. 3xsquared-27
..
1. 3g-3t+2mg-2mt
factor by grouping
3g+2mg-3t-2mt
g(3+2m)-t(3+2m)
(3+2m)(g-t)
..
3xsquared + 2x-8
3x^2+2x-8
by trial and error
(3x-4)(x+2)
Check by FOILing
..
3. 3xsquared-27
3x^2-27
factor out 3
3(x^2-9)