Factor 13y^3-8y^2+13y-8

$13 y^{3} - 8 y^{2} + 13 y - 8$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(13 y^{3} - 8 y^{2}) + 13 y - 8$

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

$y^{2} (13 y - 8) + 1 (13 y - 8)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $13 y - 8$ .

$(13 y - 8) (y^{2} + 1)$