Find the Product (9g-4)^2

${(9 g - 4)}^{2}$

Rewrite ${(9 g - 4)}^{2}$ as $(9 g - 4) (9 g - 4)$ .

$(9 g - 4) (9 g - 4)$

Expand $(9 g - 4) (9 g - 4)$ using the FOIL Method.

Apply the distributive property.

$9 g (9 g - 4) - 4 (9 g - 4)$

Apply the distributive property.

$9 g (9 g) + 9 g \cdot - 4 - 4 (9 g - 4)$

Apply the distributive property.

$9 g (9 g) + 9 g \cdot - 4 - 4 (9 g) - 4 \cdot - 4$

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$9 \cdot 9 g \cdot g + 9 g \cdot - 4 - 4 (9 g) - 4 \cdot - 4$

Multiply $g$ by $g$ by adding the exponents.

Move $g$ .

$9 \cdot 9 (g \cdot g) + 9 g \cdot - 4 - 4 (9 g) - 4 \cdot - 4$

Multiply $g$ by $g$ .

$9 \cdot 9 g^{2} + 9 g \cdot - 4 - 4 (9 g) - 4 \cdot - 4$

Multiply $9$ by $9$ .

$81 g^{2} + 9 g \cdot - 4 - 4 (9 g) - 4 \cdot - 4$

Multiply $- 4$ by $9$ .

$81 g^{2} - 36 g - 4 (9 g) - 4 \cdot - 4$

Multiply $9$ by $- 4$ .

$81 g^{2} - 36 g - 36 g - 4 \cdot - 4$

Multiply $- 4$ by $- 4$ .

$81 g^{2} - 36 g - 36 g + 16$

Subtract $36 g$ from $- 36 g$ .

$81 g^{2} - 72 g + 16$