Find the Product (8+3a)(8-3a)

$(8 + 3 a) (8 - 3 a)$

Expand $(8 + 3 a) (8 - 3 a)$ using the FOIL Method.

Apply the distributive property.

$8 (8 - 3 a) + 3 a (8 - 3 a)$

Apply the distributive property.

$8 \cdot 8 + 8 (- 3 a) + 3 a (8 - 3 a)$

Apply the distributive property.

$8 \cdot 8 + 8 (- 3 a) + 3 a \cdot 8 + 3 a (- 3 a)$

Simplify terms.

Combine the opposite terms in $8 \cdot 8 + 8 (- 3 a) + 3 a \cdot 8 + 3 a (- 3 a)$ .

Reorder the factors in the terms $8 (- 3 a)$ and $3 a \cdot 8$ .

$8 \cdot 8 - 3 \cdot 8 a + 3 \cdot 8 a + 3 a (- 3 a)$

Add $- 3 \cdot 8 a$ and $3 \cdot 8 a$ .

$8 \cdot 8 + 0 + 3 a (- 3 a)$

Add $8 \cdot 8$ and $0$ .

$8 \cdot 8 + 3 a (- 3 a)$

Simplify each term.

Multiply $8$ by $8$ .

$64 + 3 a (- 3 a)$

Rewrite using the commutative property of multiplication.

$64 + 3 \cdot - 3 a \cdot a$

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$64 + 3 \cdot - 3 (a \cdot a)$

Multiply $a$ by $a$ .

$64 + 3 \cdot - 3 a^{2}$

Multiply $3$ by $- 3$ .

$64 - 9 a^{2}$