Simplify 4p(q-1)+q(1-p)

$4 p (q - 1) + q (1 - p)$

Step 1

Simplify each term.

Apply the distributive property.

$4 p q + 4 p \cdot - 1 + q (1 - p)$

Multiply $- 1$ by $4$ .

$4 p q - 4 p + q (1 - p)$

Apply the distributive property.

$4 p q - 4 p + q \cdot 1 + q (- p)$

Multiply $q$ by $1$ .

$4 p q - 4 p + q + q (- p)$

Rewrite using the commutative property of multiplication.

$4 p q - 4 p + q - q p$

Step 2

Subtract $q p$ from $4 p q$ .

Move $q$ .

$4 p q - p q - 4 p + q$

Subtract $p q$ from $4 p q$ .

$3 p q - 4 p + q$