Write in Standard Form (2p-6)(p+1)

$(2 p - 6) (p + 1)$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Expand $(2 p - 6) (p + 1)$ using the FOIL Method.

Apply the distributive property.

$2 p (p + 1) - 6 (p + 1)$

Apply the distributive property.

$2 p \cdot p + 2 p \cdot 1 - 6 (p + 1)$

Apply the distributive property.

$2 p \cdot p + 2 p \cdot 1 - 6 p - 6 \cdot 1$

Step 3

Simplify and combine like terms.

Simplify each term.

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

Move $p$ .

$2 (p \cdot p) + 2 p \cdot 1 - 6 p - 6 \cdot 1$

Multiply $p$ by $p$ .

$2 p^{2} + 2 p \cdot 1 - 6 p - 6 \cdot 1$

Multiply $2$ by $1$ .

$2 p^{2} + 2 p - 6 p - 6 \cdot 1$

Multiply $- 6$ by $1$ .

$2 p^{2} + 2 p - 6 p - 6$

Subtract $6 p$ from $2 p$ .

$2 p^{2} - 4 p - 6$