Factor 10x^5-4x^2y+15x^3y-6y^2

$10 x^{5} - 4 x^{2} y + 15 x^{3} y - 6 y^{2}$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(10 x^{5} - 4 x^{2} y) + 15 x^{3} y - 6 y^{2}$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 x^{3} - 2 y$ .

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