Multiply (5x-3)(5x+3)

$(5 x - 3) (5 x + 3)$

Step 1

Expand $(5 x - 3) (5 x + 3)$ using the FOIL Method.

Apply the distributive property.

$5 x (5 x + 3) - 3 (5 x + 3)$

Apply the distributive property.

$5 x (5 x) + 5 x \cdot 3 - 3 (5 x + 3)$

Apply the distributive property.

$5 x (5 x) + 5 x \cdot 3 - 3 (5 x) - 3 \cdot 3$

Step 2

Simplify terms.

Combine the opposite terms in $5 x (5 x) + 5 x \cdot 3 - 3 (5 x) - 3 \cdot 3$ .

Reorder the factors in the terms $5 x \cdot 3$ and $- 3 (5 x)$ .

$5 x (5 x) + 3 \cdot 5 x - 3 \cdot 5 x - 3 \cdot 3$

Subtract $3 \cdot 5 x$ from $3 \cdot 5 x$ .

$5 x (5 x) + 0 - 3 \cdot 3$

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

$5 x (5 x) - 3 \cdot 3$

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 \cdot 5 x \cdot x - 3 \cdot 3$

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

Move $x$ .

$5 \cdot 5 (x \cdot x) - 3 \cdot 3$

Multiply $x$ by $x$ .

$5 \cdot 5 x^{2} - 3 \cdot 3$

Multiply $5$ by $5$ .

$25 x^{2} - 3 \cdot 3$

Multiply $- 3$ by $3$ .

$25 x^{2} - 9$