Factor 15x^2-4xy-4y^2

$15 x^{2} - 4 x y - 4 y^{2}$

Step 1

For a polynomial of the form $a x^{2} + b x + c$ , rewrite the middle term as a sum of two terms whose product is $a \cdot c = 15 \cdot - 4 = - 60$ and whose sum is $b = - 4$ .

Reorder terms.

$15 x^{2} - 4 y^{2} - 4 x y$

Reorder $- 4 y^{2}$ and $- 4 x y$ .

$15 x^{2} - 4 x y - 4 y^{2}$

Factor $- 4$ out of $- 4 x y$ .

$15 x^{2} - 4 (x y) - 4 y^{2}$

Rewrite $- 4$ as $6$ plus $- 10$

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

Apply the distributive property.

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

Remove unnecessary parentheses.

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

Remove unnecessary parentheses.

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

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $5 x + 2 y$ .

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

Factor 15x^2-4xy-4y^2

Related Questions

Support LCMGCF.com by disabling your adblocker.