Factor by Grouping x^3+9x^2-3x-27

$x^{3} + 9 x^{2} - 3 x - 27$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} + 9 x^{2}) - 3 x - 27$

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

$x^{2} (x + 9) - 3 (x + 9)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 9$ .

$(x + 9) (x^{2} - 3)$