Simplify (7x+5)(7x-5)

$(7 x + 5) (7 x - 5)$

Step 1

Expand $(7 x + 5) (7 x - 5)$ using the FOIL Method.

Apply the distributive property.

$7 x (7 x - 5) + 5 (7 x - 5)$

Apply the distributive property.

$7 x (7 x) + 7 x \cdot - 5 + 5 (7 x - 5)$

Apply the distributive property.

$7 x (7 x) + 7 x \cdot - 5 + 5 (7 x) + 5 \cdot - 5$

Step 2

Simplify terms.

Combine the opposite terms in $7 x (7 x) + 7 x \cdot - 5 + 5 (7 x) + 5 \cdot - 5$ .

Reorder the factors in the terms $7 x \cdot - 5$ and $5 (7 x)$ .

$7 x (7 x) - 5 \cdot 7 x + 5 \cdot 7 x + 5 \cdot - 5$

Add $- 5 \cdot 7 x$ and $5 \cdot 7 x$ .

$7 x (7 x) + 0 + 5 \cdot - 5$

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

$7 x (7 x) + 5 \cdot - 5$

Simplify each term.

Rewrite using the commutative property of multiplication.

$7 \cdot 7 x \cdot x + 5 \cdot - 5$

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

Move $x$ .

$7 \cdot 7 (x \cdot x) + 5 \cdot - 5$

Multiply $x$ by $x$ .

$7 \cdot 7 x^{2} + 5 \cdot - 5$

Multiply $7$ by $7$ .

$49 x^{2} + 5 \cdot - 5$

Multiply $5$ by $- 5$ .

$49 x^{2} - 25$