Simplify (6p+8)(5p-8)

$(6 p + 8) (5 p - 8)$

Step 1

Expand $(6 p + 8) (5 p - 8)$ using the FOIL Method.

Apply the distributive property.

$6 p (5 p - 8) + 8 (5 p - 8)$

Apply the distributive property.

$6 p (5 p) + 6 p \cdot - 8 + 8 (5 p - 8)$

Apply the distributive property.

$6 p (5 p) + 6 p \cdot - 8 + 8 (5 p) + 8 \cdot - 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$6 \cdot 5 p \cdot p + 6 p \cdot - 8 + 8 (5 p) + 8 \cdot - 8$

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

Move $p$ .

$6 \cdot 5 (p \cdot p) + 6 p \cdot - 8 + 8 (5 p) + 8 \cdot - 8$

Multiply $p$ by $p$ .

$6 \cdot 5 p^{2} + 6 p \cdot - 8 + 8 (5 p) + 8 \cdot - 8$

Multiply $6$ by $5$ .

$30 p^{2} + 6 p \cdot - 8 + 8 (5 p) + 8 \cdot - 8$

Multiply $- 8$ by $6$ .

$30 p^{2} - 48 p + 8 (5 p) + 8 \cdot - 8$

Multiply $5$ by $8$ .

$30 p^{2} - 48 p + 40 p + 8 \cdot - 8$

Multiply $8$ by $- 8$ .

$30 p^{2} - 48 p + 40 p - 64$

Add $- 48 p$ and $40 p$ .

$30 p^{2} - 8 p - 64$