Factor 1-bx-x+b

$1 - b x - x + b$

Step 1

Reorder terms.

$b - b x - x + 1$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(b - b x) - x + 1$

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

$b \cdot (- 1 x + 1) + 1 (- x + 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 1 x + 1$ .

$(- 1 x + 1) (b + 1)$

Step 4

Rewrite $- 1 x$ as $- x$ .

$(- x + 1) (b + 1)$

Step 5

Factor $- 1$ out of $- x + 1$ .

Factor $- 1$ out of $- x$ .

$(- (x) + 1) (b + 1)$

Rewrite $1$ as $- 1 (- 1)$ .

$(- (x) - 1 (- 1)) (b + 1)$

Factor $- 1$ out of $- (x) - 1 (- 1)$ .

$- (x - 1) (b + 1)$