Simplify (4p-6)(4p+6)

$(4 p - 6) (4 p + 6)$

Step 1

Expand $(4 p - 6) (4 p + 6)$ using the FOIL Method.

Apply the distributive property.

$4 p (4 p + 6) - 6 (4 p + 6)$

Apply the distributive property.

$4 p (4 p) + 4 p \cdot 6 - 6 (4 p + 6)$

Apply the distributive property.

$4 p (4 p) + 4 p \cdot 6 - 6 (4 p) - 6 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 4 p \cdot p + 4 p \cdot 6 - 6 (4 p) - 6 \cdot 6$

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

Move $p$ .

$4 \cdot 4 (p \cdot p) + 4 p \cdot 6 - 6 (4 p) - 6 \cdot 6$

Multiply $p$ by $p$ .

$4 \cdot 4 p^{2} + 4 p \cdot 6 - 6 (4 p) - 6 \cdot 6$

Multiply $4$ by $4$ .

$16 p^{2} + 4 p \cdot 6 - 6 (4 p) - 6 \cdot 6$

Multiply $6$ by $4$ .

$16 p^{2} + 24 p - 6 (4 p) - 6 \cdot 6$

Multiply $4$ by $- 6$ .

$16 p^{2} + 24 p - 24 p - 6 \cdot 6$

Multiply $- 6$ by $6$ .

$16 p^{2} + 24 p - 24 p - 36$

Subtract $24 p$ from $24 p$ .

$16 p^{2} + 0 - 36$

Add $16 p^{2}$ and $0$ .

$16 p^{2} - 36$