Question

completely factor the expression by grouping, if possible.

\ay - 3by + 3ax - 9bx\\

Explanation:

Group the terms

Using the Factoring by Grouping knowledge point

$$ (ay - 3by) + (3ax - 9bx) $$

Factor the first group

Using the Greatest Common Factor knowledge point

$$ y(a - 3b) $$

Factor the second group

Using the Greatest Common Factor knowledge point

$$ 3x(a - 3b) $$

Factor out the common binomial

Using the Factoring by Grouping knowledge point

$$ (a - 3b)(y + 3x) $$

Answer:

\((a - 3b)(y + 3x)\)