Question

Completely factor the expression by grouping, if possible.

6ac−3bd+bc−18ad

Answer 1

To factor by grouping, we can group the terms in pairs:

(6ac - 3bd) + (bc - 18ad)

Now, let's factor out the greatest common factor from each pair:

3ac(2 - bd) + b(c - 18ad)

We can see that the two terms now have a common factor of (c - 18ad), so we factor that out:

(c - 18ad)(3ac + b)