Simplify (7x+8)(7x-8)

$(7 x + 8) (7 x - 8)$

Step 1

Expand $(7 x + 8) (7 x - 8)$ using the FOIL Method.

Apply the distributive property.

$7 x (7 x - 8) + 8 (7 x - 8)$

Apply the distributive property.

$7 x (7 x) + 7 x \cdot - 8 + 8 (7 x - 8)$

Apply the distributive property.

$7 x (7 x) + 7 x \cdot - 8 + 8 (7 x) + 8 \cdot - 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$7 \cdot 7 x \cdot x + 7 x \cdot - 8 + 8 (7 x) + 8 \cdot - 8$

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

Move $x$ .

$7 \cdot 7 (x \cdot x) + 7 x \cdot - 8 + 8 (7 x) + 8 \cdot - 8$

Multiply $x$ by $x$ .

$7 \cdot 7 x^{2} + 7 x \cdot - 8 + 8 (7 x) + 8 \cdot - 8$

Multiply $7$ by $7$ .

$49 x^{2} + 7 x \cdot - 8 + 8 (7 x) + 8 \cdot - 8$

Multiply $- 8$ by $7$ .

$49 x^{2} - 56 x + 8 (7 x) + 8 \cdot - 8$

Multiply $7$ by $8$ .

$49 x^{2} - 56 x + 56 x + 8 \cdot - 8$

Multiply $8$ by $- 8$ .

$49 x^{2} - 56 x + 56 x - 64$

Add $- 56 x$ and $56 x$ .

$49 x^{2} + 0 - 64$

Add $49 x^{2}$ and $0$ .

$49 x^{2} - 64$