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

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

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

factor

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

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

Solution steps

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

Factor out common term

a

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

Factor out common term

b

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

Rewrite as

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

Factor out common term

(x - y)

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

Factor out common term

c

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

Rewrite as

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

Factor out common term

(x - y)

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

A (8.3)

(3 a^{3} - a^{2}) + (- 2 x)

- 3 x + (- 14)

x^{2} \cdot 4 x

π \cdot (r)^{2} \cdot L

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