What is factor ac-a-bc+b+c^2-c ?

The solution to factor ac-a-bc+b+c^2-c is (-1+c)(a-b+c)

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factor ac-a-bc+b+c^2-c

factor

a c - a - b c + b + c^{2} - c

(- 1 + c) (a - b + c)

Solution steps

a c - a - b c + b + c^{2} - c

Factor out common term

a

= a (c - 1) - b c + b + c^{2} - c

Factor out common term

b

= a (- 1 + c) + b (- c + 1) + c^{2} - c

Rewrite as

= (- 1 + c) a - (- 1 + c) b + c^{2} - c

Factor out common term

(- 1 + c)

= (- 1 + c) (a - b) + c^{2} - c

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

c^{2} = cc

= (- 1 + c) (a - b) + cc - c

Factor out common term

c

= (- 1 + c) (a - b) + c (c - 1)

Factor out common term

(- 1 + c)

= (- 1 + c) (a - b + c)

(x - 2)^{2} - 4 = x + 1

- \frac{2}{3} \cdot \frac{3}{2}

(x - 3)^{2} = 144

3^{\frac{1}{4} - 1}

\frac{x}{x}

What is factor ac-a-bc+b+c^2-c ?
The solution to factor ac-a-bc+b+c^2-c is (-1+c)(a-b+c)