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 $5 (8 x)$ .

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

Add $- 5 \cdot 8 x$ and $5 \cdot 8 x$ .

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

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 $- 5$ .

$64 x^{2} - 25$