Question

factorizar y simplificar (a-2)(2x-3y-4z)-(6-a)(2x-3y+4z)

Answer 1

Simplificación
(a-2)(2x-3y-4z)-(6-a)(2x-3y+4z)
2ax-3ay-4az-4x+6y+8z-(6-a)(2x-3y+4z)
2ax-3ay-4az-4x+6y+8z-(12x-18y+24z-2ax+3ay-4az)
2ax-3ay-4az-4x+6y+8z-12x+18y-24z+2ax-3ay+4az
4ax-3ay-4az-4x+6y+8z-12x+18y-24z-3ay+4az
4ax-6ay-4az-4x+6y+8z-12x+18y-24z+4az
4ax-6ay-4x+6y+8z-12x+18y-24z
4ax-6ay-16x+6y+8z+18y-24z
4ax-6ay-16x+24y+8z-24z
4ax-6ay-16x+24y-16z

Factorización
4ax-6ay-16x+24y-16z
2(2ax-3ay-8x+12y-8z)