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

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

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factor ax-bx+cx+ay-by+cy-a+b-c

factor

a x - b x + c x + a y - b y + cy - a + b - c

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

Solution steps

a x - b x + c x + a y - b y + cy - a + b - c

Factor out common term

a

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

Factor out common term

b

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

Rewrite as

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

Factor out common term

(- 1 + x + y)

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

Factor out common term

c

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

Rewrite as

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

Factor out common term

(- 1 + x + y)

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

e^{2 x + 2 y^{2}} - e^{2 x + y^{2}}

f (c) = 5 + c

x \cdot e^{x y} + 3 x^{2} \cdot y

a^{3} b^{3} c^{3} - 64

3 sin (x^{2} - 1) - 5

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