Factor 10x^2-14xy-15x+21y

$10 x^{2} - 14 x y - 15 x + 21 y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(10 x^{2} - 14 x y) - 15 x + 21 y$

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

$2 x (5 x - 7 y) - 3 (5 x - 7 y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 x - 7 y$ .

$(5 x - 7 y) (2 x - 3)$