Simplify -4(x^2-2xy+5y^2-3)

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

Step 1

Apply the distributive property.

$- 4 x^{2} - 4 (- 2 x y) - 4 (5 y^{2}) - 4 \cdot - 3$

Step 2

Simplify.

Multiply $- 2$ by $- 4$ .

$- 4 x^{2} + 8 (x y) - 4 (5 y^{2}) - 4 \cdot - 3$

Multiply $5$ by $- 4$ .

$- 4 x^{2} + 8 (x y) - 20 y^{2} - 4 \cdot - 3$

Multiply $- 4$ by $- 3$ .

$- 4 x^{2} + 8 (x y) - 20 y^{2} + 12$

$- 4 x^{2} + 8 x y - 20 y^{2} + 12$