Find the Product (5x+2)(5x-2)

$(5 x + 2) (5 x - 2)$

Step 1

Expand $(5 x + 2) (5 x - 2)$ using the FOIL Method.

Apply the distributive property.

$5 x (5 x - 2) + 2 (5 x - 2)$

Apply the distributive property.

$5 x (5 x) + 5 x \cdot - 2 + 2 (5 x - 2)$

Apply the distributive property.

$5 x (5 x) + 5 x \cdot - 2 + 2 (5 x) + 2 \cdot - 2$

Step 2

Simplify terms.

Combine the opposite terms in $5 x (5 x) + 5 x \cdot - 2 + 2 (5 x) + 2 \cdot - 2$ .

Reorder the factors in the terms $5 x \cdot - 2$ and $2 (5 x)$ .

$5 x (5 x) - 2 \cdot 5 x + 2 \cdot 5 x + 2 \cdot - 2$

Add $- 2 \cdot 5 x$ and $2 \cdot 5 x$ .

$5 x (5 x) + 0 + 2 \cdot - 2$

Add $5 x (5 x)$ and $0$ .

$5 x (5 x) + 2 \cdot - 2$

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 \cdot 5 x \cdot x + 2 \cdot - 2$

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

Move $x$ .

$5 \cdot 5 (x \cdot x) + 2 \cdot - 2$

Multiply $x$ by $x$ .

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

Multiply $5$ by $5$ .

$25 x^{2} + 2 \cdot - 2$

Multiply $2$ by $- 2$ .

$25 x^{2} - 4$