Factor by Grouping 9b^4-15b-6b^3+10

$9 b^{4} - 15 b - 6 b^{3} + 10$

Step 1

Reorder terms.

$9 b^{4} - 6 b^{3} - 15 b + 10$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(9 b^{4} - 6 b^{3}) - 15 b + 10$

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

$3 b^{3} (3 b - 2) - 5 (3 b - 2)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 b - 2$ .

$(3 b - 2) (3 b^{3} - 5)$