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

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

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

factor

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

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

Solution steps

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

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)

tan^{3} (x) - 1

(x + 2 y) - 3 z

((x - y)^{2})^{2}

(- 2.3) a

(1 - x^{2}) - x

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