Simplify (8x-5)(8x+5)

$(8 x - 5) (8 x + 5)$

Step 1

Expand $(8 x - 5) (8 x + 5)$ using the FOIL Method.

Apply the distributive property.

$8 x (8 x + 5) - 5 (8 x + 5)$

Apply the distributive property.

$8 x (8 x) + 8 x \cdot 5 - 5 (8 x + 5)$

Apply the distributive property.

$8 x (8 x) + 8 x \cdot 5 - 5 (8 x) - 5 \cdot 5$

Step 2

Simplify terms.

Combine the opposite terms in $8 x (8 x) + 8 x \cdot 5 - 5 (8 x) - 5 \cdot 5$ .

Reorder the factors in the terms $8 x \cdot 5$ and $- 5 (8 x)$ .

$8 x (8 x) + 5 \cdot 8 x - 5 \cdot 8 x - 5 \cdot 5$

Subtract $5 \cdot 8 x$ from $5 \cdot 8 x$ .

$8 x (8 x) + 0 - 5 \cdot 5$

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

$8 x (8 x) - 5 \cdot 5$

Simplify each term.

Rewrite using the commutative property of multiplication.

$8 \cdot 8 x \cdot x - 5 \cdot 5$

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

Move $x$ .

$8 \cdot 8 (x \cdot x) - 5 \cdot 5$

Multiply $x$ by $x$ .

$8 \cdot 8 x^{2} - 5 \cdot 5$

Multiply $8$ by $8$ .

$64 x^{2} - 5 \cdot 5$

Multiply $- 5$ by $5$ .

$64 x^{2} - 25$