How do you factor 6r^3m^3-42r^2m^2+54rm-378?

1 Answer
Jul 8, 2015

Factor out the GCF 6. Then factor by grouping.

Explanation:

6r^3m^3-42r^2m^2+54rm-378

Factor out the GCF 6.

6(r^3m^3-7r^2m^2+9rm-63)

Factor by grouping.

6(r^3m^3-7r^2m^2)+(9rm-63)

Factor out common terms for both groups.

6(r^2m^2(rm-7))+(9(rm-7))

Factor out the common term (rm-7).

6(r^2m^2+9)(rm-7)