The problem is to factor the polynomial $4ax - 20xy + aw - 5wy$ if possible.

1. Problem Description

The problem is to factor the polynomial $4ax - 20xy + aw - 5wy$ if possible.

2. Solution Steps

We can use factoring by grouping.

Group the terms as follows:

$(4ax - 20xy) + (aw - 5wy)$

Factor out the common factor from each group.

From the first group, we can factor out $4x$:

$4x(a - 5y)$

From the second group, we can factor out $w$:

$w(a - 5y)$

Now we have:

$4x(a - 5y) + w(a - 5y)$

Notice that $(a - 5y)$ is a common factor. We can factor it out:

$(a - 5y)(4x + w)$

3. Final Answer

$(a - 5y)(4x + w)$