Factor by Grouping 9r^3+15r^2-15r-25

$9 r^{3} + 15 r^{2} - 15 r - 25$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(9 r^{3} + 15 r^{2}) - 15 r - 25$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 r + 5$ .

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