Simplify (9x+6)(9x-6)

$(9 x + 6) (9 x - 6)$

Step 1

Expand $(9 x + 6) (9 x - 6)$ using the FOIL Method.

Apply the distributive property.

$9 x (9 x - 6) + 6 (9 x - 6)$

Apply the distributive property.

$9 x (9 x) + 9 x \cdot - 6 + 6 (9 x - 6)$

Apply the distributive property.

$9 x (9 x) + 9 x \cdot - 6 + 6 (9 x) + 6 \cdot - 6$

Step 2

Simplify terms.

Combine the opposite terms in $9 x (9 x) + 9 x \cdot - 6 + 6 (9 x) + 6 \cdot - 6$ .

Reorder the factors in the terms $9 x \cdot - 6$ and $6 (9 x)$ .

$9 x (9 x) - 6 \cdot 9 x + 6 \cdot 9 x + 6 \cdot - 6$

Add $- 6 \cdot 9 x$ and $6 \cdot 9 x$ .

$9 x (9 x) + 0 + 6 \cdot - 6$

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

$9 x (9 x) + 6 \cdot - 6$

Simplify each term.

Rewrite using the commutative property of multiplication.

$9 \cdot 9 x \cdot x + 6 \cdot - 6$

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

Move $x$ .

$9 \cdot 9 (x \cdot x) + 6 \cdot - 6$

Multiply $x$ by $x$ .

$9 \cdot 9 x^{2} + 6 \cdot - 6$

Multiply $9$ by $9$ .

$81 x^{2} + 6 \cdot - 6$

Multiply $6$ by $- 6$ .

$81 x^{2} - 36$