Factor by Grouping 9a^2+12-8a-6a^3

$9 a^{2} + 12 - 8 a - 6 a^{3}$

Step 1

Reorder terms.

$- 6 a^{3} + 9 a^{2} - 8 a + 12$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(- 6 a^{3} + 9 a^{2}) - 8 a + 12$

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

$3 a^{2} (- 2 a + 3) + 4 (- 2 a + 3)$

Step 3

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

$(- 2 a + 3) (3 a^{2} + 4)$