How do you factor 3bc-2b-10+15c?

1 Answer
Jan 20, 2017

3bc-2b-10+15c = (b+5)(3c-2)

Explanation:

This quadrinomial factors by grouping (at least once we swap a couple of the terms around)...

3bc-2b-10+15c = 3bc-2b+15c-10

color(white)(3bc-2b-10+15c) = (3bc-2b)+(15c-10)

color(white)(3bc-2b-10+15c) = b(3c-2)+5(3c-2)

color(white)(3bc-2b-10+15c) = (b+5)(3c-2)