Simplify (6x-8)(6x+8)

$(6 x - 8) (6 x + 8)$

Step 1

Expand $(6 x - 8) (6 x + 8)$ using the FOIL Method.

Apply the distributive property.

$6 x (6 x + 8) - 8 (6 x + 8)$

Apply the distributive property.

$6 x (6 x) + 6 x \cdot 8 - 8 (6 x + 8)$

Apply the distributive property.

$6 x (6 x) + 6 x \cdot 8 - 8 (6 x) - 8 \cdot 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$6 \cdot 6 x \cdot x + 6 x \cdot 8 - 8 (6 x) - 8 \cdot 8$

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

Move $x$ .

$6 \cdot 6 (x \cdot x) + 6 x \cdot 8 - 8 (6 x) - 8 \cdot 8$

Multiply $x$ by $x$ .

$6 \cdot 6 x^{2} + 6 x \cdot 8 - 8 (6 x) - 8 \cdot 8$

Multiply $6$ by $6$ .

$36 x^{2} + 6 x \cdot 8 - 8 (6 x) - 8 \cdot 8$

Multiply $8$ by $6$ .

$36 x^{2} + 48 x - 8 (6 x) - 8 \cdot 8$

Multiply $6$ by $- 8$ .

$36 x^{2} + 48 x - 48 x - 8 \cdot 8$

Multiply $- 8$ by $8$ .

$36 x^{2} + 48 x - 48 x - 64$

Subtract $48 x$ from $48 x$ .

$36 x^{2} + 0 - 64$

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

$36 x^{2} - 64$