Simplify (7q-5)(7q+5)

$(7 q - 5) (7 q + 5)$

Step 1

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

Apply the distributive property.

$7 q (7 q + 5) - 5 (7 q + 5)$

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

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

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

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

Subtract $5 \cdot 7 q$ from $5 \cdot 7 q$ .

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

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

$7 q (7 q) - 5 \cdot 5$

Simplify each term.

Rewrite using the commutative property of multiplication.

$7 \cdot 7 q \cdot q - 5 \cdot 5$

Multiply $q$ by $q$ by adding the exponents.

Move $q$ .

$7 \cdot 7 (q \cdot q) - 5 \cdot 5$

Multiply $q$ by $q$ .

$7 \cdot 7 q^{2} - 5 \cdot 5$

Multiply $7$ by $7$ .

$49 q^{2} - 5 \cdot 5$

Multiply $- 5$ by $5$ .

$49 q^{2} - 25$