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

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

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factor ax-ay-cx+cy+bx-by

factor

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

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

Solution steps

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

Factor out common term

a

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

Factor out common term

c

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

Rewrite as

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

Factor out common term

(x - y)

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

Factor out common term

b

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

Factor out common term

(x - y)

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

a K b + a q + p b

\frac{x ^{2} - x}{x ^{2} - 1}

3 x^{2} - 8 + 4

f (3 u)

(ln (2)) x^{2}

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