Question

completely factor the expression by grouping, if possible.

\ax - 4bx + 4ay - 16by\\

Explanation:

Group the terms

Using the Factoring by Grouping knowledge point

$$ (ax - 4bx) + (4ay - 16by) $$

Factor out the greatest common factor from each group

Using the Greatest Common Factor knowledge point

$$ x(a - 4b) + 4y(a - 4b) $$

Factor out the common binomial

Using the Factoring by Grouping knowledge point

$$ (a - 4b)(x + 4y) $$

Answer:

\((a - 4b)(x + 4y)\)