How do you factor #35g^2h - 15gh^2#?

1 Answer
Mar 13, 2018

Answer:

#5gh(7g-3h)#

Explanation:

You look for the greatest common factor (#GCF#) of the two terms.
If we break this down, we can see that
- #5# is the #GCF# of #35# and #15#.
- #g# is the #GCF# of #g^2# and #g#.
- #h# is the #GCF# of #h# and #h^2#.

This means that the #GCF# of the overall expression is #5gh#, so you can factor it out.
You get:
#5gh(7g-3h)#