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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $6$ by $6$ .

$36 x^{2} + 6 x \cdot 9 - 9 (6 x) - 9 \cdot 9$

Multiply $9$ by $6$ .

$36 x^{2} + 54 x - 9 (6 x) - 9 \cdot 9$

Multiply $6$ by $- 9$ .

$36 x^{2} + 54 x - 54 x - 9 \cdot 9$

Multiply $- 9$ by $9$ .

$36 x^{2} + 54 x - 54 x - 81$

Subtract $54 x$ from $54 x$ .

$36 x^{2} + 0 - 81$

Add $36 x^{2}$ and $0$ .

$36 x^{2} - 81$