Question

completely factor the expression by grouping, if possible.

\\50aq - 4wy + 5qw - 40ay\\

Explanation:

Rearrange the terms

Using the Factoring by Grouping knowledge point

$$ 50aq - 4wy + 5qw - 40ay = (50aq + 5qw) - (40ay + 4wy) $$

Factor the first group

Using the Greatest Common Factor knowledge point

$$ 50aq + 5qw = 5q(10a + w) $$

Factor the second group

Using the Greatest Common Factor knowledge point

$$ -(40ay + 4wy) = -4y(10a + w) $$

Factor out the common binomial

Using the Factoring by Grouping knowledge point

$$ 5q(10a + w) - 4y(10a + w) = (10a + w)(5q - 4y) $$

Answer:

\((10a + w)(5q - 4y)\)