Factor by Grouping 5r^2s-15s+2r^2-6

$5 r^{2} s - 15 s + 2 r^{2} - 6$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 r^{2} s - 15 s) + 2 r^{2} - 6$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $r^{2} - 3$ .

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