Factor p(c-d)+c-d

$p (c - d) + c - d$

Step 1

Apply the distributive property.

$p c + p (- d) + c - d$

Step 2

Rewrite using the commutative property of multiplication.

$p c - p d + c - d$

Step 3

Rewrite $p c - p d + c - d$ in a factored form.

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(p c - p d) + c - d$

Factor out the greatest common factor (GCF) from each group.

$p (c - d) + 1 (c - d)$

Factor the polynomial by factoring out the greatest common factor, $c - d$ .

$(c - d) (p + 1)$