Simplify (8x-4)(8x+4)

$(8 x - 4) (8 x + 4)$

Step 1

Expand $(8 x - 4) (8 x + 4)$ using the FOIL Method.

Apply the distributive property.

$8 x (8 x + 4) - 4 (8 x + 4)$

Apply the distributive property.

$8 x (8 x) + 8 x \cdot 4 - 4 (8 x + 4)$

Apply the distributive property.

$8 x (8 x) + 8 x \cdot 4 - 4 (8 x) - 4 \cdot 4$

Step 2

Simplify terms.

Combine the opposite terms in $8 x (8 x) + 8 x \cdot 4 - 4 (8 x) - 4 \cdot 4$ .

Reorder the factors in the terms $8 x \cdot 4$ and $- 4 (8 x)$ .

$8 x (8 x) + 4 \cdot 8 x - 4 \cdot 8 x - 4 \cdot 4$

Subtract $4 \cdot 8 x$ from $4 \cdot 8 x$ .

$8 x (8 x) + 0 - 4 \cdot 4$

Add $8 x (8 x)$ and $0$ .

$8 x (8 x) - 4 \cdot 4$

Simplify each term.

Rewrite using the commutative property of multiplication.

$8 \cdot 8 x \cdot x - 4 \cdot 4$

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

Move $x$ .

$8 \cdot 8 (x \cdot x) - 4 \cdot 4$

Multiply $x$ by $x$ .

$8 \cdot 8 x^{2} - 4 \cdot 4$

Multiply $8$ by $8$ .

$64 x^{2} - 4 \cdot 4$

Multiply $- 4$ by $4$ .

$64 x^{2} - 16$