What is factor ax+bx-b-cx+c-a ?

The solution to factor ax+bx-b-cx+c-a is (-1+x)(a+b-c)

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factor ax+bx-b-cx+c-a

factor

a x + b x - b - c x + c - a

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

Solution steps

a x + b x - b - c x + c - a

Factor out common term

a

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

Factor out common term

b

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

Rewrite as

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

Factor out common term

(- 1 + x)

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

Factor out common term

c

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

Rewrite as

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

Factor out common term

(- 1 + x)

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

2 a b^{2} - ab c - 6 b c + 3 c^{2}

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a x + 4 x + a y + 4 y

2 x^{2} + 8 x z - x y - 4 yz

6 ab - d^{2} - 3 b d + 2 a d

What is factor ax+bx-b-cx+c-a ?
The solution to factor ax+bx-b-cx+c-a is (-1+x)(a+b-c)