Factor r^2-6tw+2wr-3tr

$r^{2} - 6 t w + 2 w r - 3 t r$

Step 1

Regroup terms.

$2 w r + r^{2} - 6 t w - 3 t r$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 w r + r^{2}) - 6 t w - 3 t r$

Factor out the greatest common factor (GCF) from each group.

$r (2 w + r) - 3 t (2 w + r)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $2 w + r$ .

$(2 w + r) (r - 3 t)$