Find the Product (ab+3)(ab-3)

$(a b + 3) (a b - 3)$

Expand $(a b + 3) (a b - 3)$ using the FOIL Method.

Apply the distributive property.

$a b (a b - 3) + 3 (a b - 3)$

Apply the distributive property.

$a b (a b) + a b \cdot - 3 + 3 (a b - 3)$

Apply the distributive property.

$a b (a b) + a b \cdot - 3 + 3 (a b) + 3 \cdot - 3$

Simplify terms.

Combine the opposite terms in $a b (a b) + a b \cdot - 3 + 3 (a b) + 3 \cdot - 3$ .

Reorder the factors in the terms $a b \cdot - 3$ and $3 (a b)$ .

$a b (a b) - 3 a b + 3 a b + 3 \cdot - 3$

Add $- 3 a b$ and $3 a b$ .

$a b (a b) + 0 + 3 \cdot - 3$

Add $a b (a b)$ and $0$ .

$a b (a b) + 3 \cdot - 3$

Simplify each term.

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$a \cdot a b \cdot b + 3 \cdot - 3$

Multiply $a$ by $a$ .

$a^{2} b \cdot b + 3 \cdot - 3$

Multiply $b$ by $b$ by adding the exponents.

Move $b$ .

$a^{2} (b \cdot b) + 3 \cdot - 3$

Multiply $b$ by $b$ .

$a^{2} b^{2} + 3 \cdot - 3$

Multiply $3$ by $- 3$ .

$a^{2} b^{2} - 9$