Simplify (9x+2)(9x-2)

$(9 x + 2) (9 x - 2)$

Step 1

Expand $(9 x + 2) (9 x - 2)$ using the FOIL Method.

Apply the distributive property.

$9 x (9 x - 2) + 2 (9 x - 2)$

Apply the distributive property.

$9 x (9 x) + 9 x \cdot - 2 + 2 (9 x - 2)$

Apply the distributive property.

$9 x (9 x) + 9 x \cdot - 2 + 2 (9 x) + 2 \cdot - 2$

Step 2

Simplify terms.

Combine the opposite terms in $9 x (9 x) + 9 x \cdot - 2 + 2 (9 x) + 2 \cdot - 2$ .

Reorder the factors in the terms $9 x \cdot - 2$ and $2 (9 x)$ .

$9 x (9 x) - 2 \cdot 9 x + 2 \cdot 9 x + 2 \cdot - 2$

Add $- 2 \cdot 9 x$ and $2 \cdot 9 x$ .

$9 x (9 x) + 0 + 2 \cdot - 2$

Add $9 x (9 x)$ and $0$ .

$9 x (9 x) + 2 \cdot - 2$

Simplify each term.

Rewrite using the commutative property of multiplication.

$9 \cdot 9 x \cdot x + 2 \cdot - 2$

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

Move $x$ .

$9 \cdot 9 (x \cdot x) + 2 \cdot - 2$

Multiply $x$ by $x$ .

$9 \cdot 9 x^{2} + 2 \cdot - 2$

Multiply $9$ by $9$ .

$81 x^{2} + 2 \cdot - 2$

Multiply $2$ by $- 2$ .

$81 x^{2} - 4$