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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

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

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

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

Subtract $7 \cdot 7 x$ from $7 \cdot 7 x$ .

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

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

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

Simplify each term.

Rewrite using the commutative property of multiplication.

$7 \cdot 7 x \cdot x - 7 \cdot 7$

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $7$ by $7$ .

$49 x^{2} - 7 \cdot 7$

Multiply $- 7$ by $7$ .

$49 x^{2} - 49$