Simplify (9x+8)(9x-8)

$(9 x + 8) (9 x - 8)$

Step 1

Expand $(9 x + 8) (9 x - 8)$ using the FOIL Method.

Apply the distributive property.

$9 x (9 x - 8) + 8 (9 x - 8)$

Apply the distributive property.

$9 x (9 x) + 9 x \cdot - 8 + 8 (9 x - 8)$

Apply the distributive property.

$9 x (9 x) + 9 x \cdot - 8 + 8 (9 x) + 8 \cdot - 8$

Step 2

Simplify terms.

Combine the opposite terms in $9 x (9 x) + 9 x \cdot - 8 + 8 (9 x) + 8 \cdot - 8$ .

Reorder the factors in the terms $9 x \cdot - 8$ and $8 (9 x)$ .

$9 x (9 x) - 8 \cdot 9 x + 8 \cdot 9 x + 8 \cdot - 8$

Add $- 8 \cdot 9 x$ and $8 \cdot 9 x$ .

$9 x (9 x) + 0 + 8 \cdot - 8$

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

$9 x (9 x) + 8 \cdot - 8$

Simplify each term.

Rewrite using the commutative property of multiplication.

$9 \cdot 9 x \cdot x + 8 \cdot - 8$

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

Move $x$ .

$9 \cdot 9 (x \cdot x) + 8 \cdot - 8$

Multiply $x$ by $x$ .

$9 \cdot 9 x^{2} + 8 \cdot - 8$

Multiply $9$ by $9$ .

$81 x^{2} + 8 \cdot - 8$

Multiply $8$ by $- 8$ .

$81 x^{2} - 64$