Find the Product (-2x-9y^2)(-4x-3)

$(- 2 x - 9 y^{2}) (- 4 x - 3)$

Expand $(- 2 x - 9 y^{2}) (- 4 x - 3)$ using the FOIL Method.

Apply the distributive property.

$- 2 x (- 4 x - 3) - 9 y^{2} (- 4 x - 3)$

Apply the distributive property.

$- 2 x (- 4 x) - 2 x \cdot - 3 - 9 y^{2} (- 4 x - 3)$

Apply the distributive property.

$- 2 x (- 4 x) - 2 x \cdot - 3 - 9 y^{2} (- 4 x) - 9 y^{2} \cdot - 3$

Simplify each term.

Rewrite using the commutative property of multiplication.

$- 2 \cdot - 4 x \cdot x - 2 x \cdot - 3 - 9 y^{2} (- 4 x) - 9 y^{2} \cdot - 3$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$- 2 \cdot - 4 (x \cdot x) - 2 x \cdot - 3 - 9 y^{2} (- 4 x) - 9 y^{2} \cdot - 3$

Multiply $x$ by $x$ .

$- 2 \cdot - 4 x^{2} - 2 x \cdot - 3 - 9 y^{2} (- 4 x) - 9 y^{2} \cdot - 3$

Multiply $- 2$ by $- 4$ .

$8 x^{2} - 2 x \cdot - 3 - 9 y^{2} (- 4 x) - 9 y^{2} \cdot - 3$

Multiply $- 3$ by $- 2$ .

$8 x^{2} + 6 x - 9 y^{2} (- 4 x) - 9 y^{2} \cdot - 3$

Rewrite using the commutative property of multiplication.

$8 x^{2} + 6 x - 9 \cdot - 4 y^{2} x - 9 y^{2} \cdot - 3$

Multiply $- 9$ by $- 4$ .

$8 x^{2} + 6 x + 36 y^{2} x - 9 y^{2} \cdot - 3$

Multiply $- 3$ by $- 9$ .

$8 x^{2} + 6 x + 36 y^{2} x + 27 y^{2}$