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

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

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

factor

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

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

Solution steps

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

Factor out common term

a

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

Factor out common term

b

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

Rewrite as

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

Factor out common term

(x - y)

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

Factor out common term

c

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

Rewrite as

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

Factor out common term

(x - y)

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

lo g_{a} (x^{2} - 64)

3 b z + 6 a^{2} b - 18 a b^{2} - a z

[3.3]

36 + (5 tan^{2} (6 x))

7 h (4 x - x) - (x - 4)

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