Factor x^3y^2+8xy^2-5x^2-40

$x^{3} y^{2} + 8 x y^{2} - 5 x^{2} - 40$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} y^{2} + 8 x y^{2}) - 5 x^{2} - 40$

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

$x y^{2} (x^{2} + 8) - 5 (x^{2} + 8)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x^{2} + 8$ .

$(x^{2} + 8) (x y^{2} - 5)$