Factor by Grouping 4y^3-5y^2-8y+10

$4 y^{3} - 5 y^{2} - 8 y + 10$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 y^{3} - 5 y^{2}) - 8 y + 10$

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

$y^{2} (4 y - 5) - 2 (4 y - 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 y - 5$ .

$(4 y - 5) (y^{2} - 2)$