Simplify (15x^2+11xy-19y^2)-(6x^2-3xy)

$(15 x^{2} + 11 x y - 19 y^{2}) - (6 x^{2} - 3 x y)$

Step 1

Simplify each term.

Apply the distributive property.

$15 x^{2} + 11 x y - 19 y^{2} - (6 x^{2}) - (- 3 x y)$

Multiply $6$ by $- 1$ .

$15 x^{2} + 11 x y - 19 y^{2} - 6 x^{2} - (- 3 x y)$

Multiply $- 3$ by $- 1$ .

$15 x^{2} + 11 x y - 19 y^{2} - 6 x^{2} + 3 x y$

Step 2

Simplify by adding terms.

Subtract $6 x^{2}$ from $15 x^{2}$ .

$9 x^{2} + 11 x y - 19 y^{2} + 3 x y$

Add $11 x y$ and $3 x y$ .

$9 x^{2} - 19 y^{2} + 14 x y$