Find the Product (-p+q)(-1-q)

$(- p + q) (- 1 - q)$

Step 1

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

Apply the distributive property.

$- p (- 1 - q) + q (- 1 - q)$

Apply the distributive property.

$- p \cdot - 1 - p (- q) + q (- 1 - q)$

Apply the distributive property.

$- p \cdot - 1 - p (- q) + q \cdot - 1 + q (- q)$

Step 2

Simplify each term.

Multiply $- p \cdot - 1$ .

Multiply $- 1$ by $- 1$ .

$1 p - p (- q) + q \cdot - 1 + q (- q)$

Multiply $p$ by $1$ .

$p - p (- q) + q \cdot - 1 + q (- q)$

Rewrite using the commutative property of multiplication.

$p - 1 \cdot - 1 p q + q \cdot - 1 + q (- q)$

Multiply $- 1$ by $- 1$ .

$p + 1 p q + q \cdot - 1 + q (- q)$

Multiply $p$ by $1$ .

$p + p q + q \cdot - 1 + q (- q)$

Move $- 1$ to the left of $q$ .

$p + p q - 1 \cdot q + q (- q)$

Rewrite $- 1 q$ as $- q$ .

$p + p q - q + q (- q)$

Rewrite using the commutative property of multiplication.

$p + p q - q - q \cdot q$

Multiply $q$ by $q$ by adding the exponents.

Move $q$ .

$p + p q - q - (q \cdot q)$

Multiply $q$ by $q$ .

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