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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

Combine the opposite terms in $8 x (8 x) + 8 x \cdot - 7 + 7 (8 x) + 7 \cdot - 7$ .

Reorder the factors in the terms $8 x \cdot - 7$ and $7 (8 x)$ .

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

Add $- 7 \cdot 8 x$ and $7 \cdot 8 x$ .

$8 x (8 x) + 0 + 7 \cdot - 7$

Add $8 x (8 x)$ and $0$ .

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

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $8$ by $8$ .

$64 x^{2} + 7 \cdot - 7$

Multiply $7$ by $- 7$ .

$64 x^{2} - 49$