Simplify (7x+3)(7x-3)

$(7 x + 3) (7 x - 3)$

Step 1

Expand $(7 x + 3) (7 x - 3)$ using the FOIL Method.

Apply the distributive property.

$7 x (7 x - 3) + 3 (7 x - 3)$

Apply the distributive property.

$7 x (7 x) + 7 x \cdot - 3 + 3 (7 x - 3)$

Apply the distributive property.

$7 x (7 x) + 7 x \cdot - 3 + 3 (7 x) + 3 \cdot - 3$

Step 2

Simplify terms.

Combine the opposite terms in $7 x (7 x) + 7 x \cdot - 3 + 3 (7 x) + 3 \cdot - 3$ .

Reorder the factors in the terms $7 x \cdot - 3$ and $3 (7 x)$ .

$7 x (7 x) - 3 \cdot 7 x + 3 \cdot 7 x + 3 \cdot - 3$

Add $- 3 \cdot 7 x$ and $3 \cdot 7 x$ .

$7 x (7 x) + 0 + 3 \cdot - 3$

Add $7 x (7 x)$ and $0$ .

$7 x (7 x) + 3 \cdot - 3$

Simplify each term.

Rewrite using the commutative property of multiplication.

$7 \cdot 7 x \cdot x + 3 \cdot - 3$

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

Move $x$ .

$7 \cdot 7 (x \cdot x) + 3 \cdot - 3$

Multiply $x$ by $x$ .

$7 \cdot 7 x^{2} + 3 \cdot - 3$

Multiply $7$ by $7$ .

$49 x^{2} + 3 \cdot - 3$

Multiply $3$ by $- 3$ .

$49 x^{2} - 9$