Factor r^2-15tw+3wr-5tr

$r^{2} - 15 t w + 3 w r - 5 t r$

Step 1

Regroup terms.

$3 w r + r^{2} - 15 t w - 5 t r$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 w r + r^{2}) - 15 t w - 5 t r$

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

$r (3 w + r) - 5 t (3 w + r)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 w + r$ .

$(3 w + r) (r - 5 t)$