Factor by Grouping 4r^3+6r^2-6r-9

$4 r^{3} + 6 r^{2} - 6 r - 9$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 r^{3} + 6 r^{2}) - 6 r - 9$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 r + 3$ .

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