Simplify -p(2p-8)-5p

$- p (2 p - 8) - 5 p$

Step 1

Simplify each term.

Apply the distributive property.

$- p (2 p) - p \cdot - 8 - 5 p$

Rewrite using the commutative property of multiplication.

$- 1 \cdot 2 p \cdot p - p \cdot - 8 - 5 p$

Multiply $- 8$ by $- 1$ .

$- 1 \cdot 2 p \cdot p + 8 p - 5 p$

Simplify each term.

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

Move $p$ .

$- 1 \cdot 2 (p \cdot p) + 8 p - 5 p$

Multiply $p$ by $p$ .

$- 1 \cdot 2 p^{2} + 8 p - 5 p$

Multiply $- 1$ by $2$ .

$- 2 p^{2} + 8 p - 5 p$

Step 2

Subtract $5 p$ from $8 p$ .

$- 2 p^{2} + 3 p$