Simplify (8p-2)(6p+2)

$(8 p - 2) (6 p + 2)$

Step 1

Expand $(8 p - 2) (6 p + 2)$ using the FOIL Method.

Apply the distributive property.

$8 p (6 p + 2) - 2 (6 p + 2)$

Apply the distributive property.

$8 p (6 p) + 8 p \cdot 2 - 2 (6 p + 2)$

Apply the distributive property.

$8 p (6 p) + 8 p \cdot 2 - 2 (6 p) - 2 \cdot 2$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$8 \cdot 6 p \cdot p + 8 p \cdot 2 - 2 (6 p) - 2 \cdot 2$

Multiply $p$ by $p$ by adding the exponents.

Move $p$ .

$8 \cdot 6 (p \cdot p) + 8 p \cdot 2 - 2 (6 p) - 2 \cdot 2$

Multiply $p$ by $p$ .

$8 \cdot 6 p^{2} + 8 p \cdot 2 - 2 (6 p) - 2 \cdot 2$

Multiply $8$ by $6$ .

$48 p^{2} + 8 p \cdot 2 - 2 (6 p) - 2 \cdot 2$

Multiply $2$ by $8$ .

$48 p^{2} + 16 p - 2 (6 p) - 2 \cdot 2$

Multiply $6$ by $- 2$ .

$48 p^{2} + 16 p - 12 p - 2 \cdot 2$

Multiply $- 2$ by $2$ .

$48 p^{2} + 16 p - 12 p - 4$

Subtract $12 p$ from $16 p$ .

$48 p^{2} + 4 p - 4$