What is factor ax-ay-bx+by ?

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

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factor ax-ay-bx+by

factor

a x - a y - b x + b y

(x - y) (a - b)

Solution steps

a x - a y - b x + b y

Factor out common term

a

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

Factor out common term

b

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

Rewrite as

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

Factor out common term

(x - y)

= (x - y) (a - b)

- 15 < 3 y \leq - 3

12 = \frac{2}{3} b

c^{2} - 3 c + 2

\frac{2}{3} - \frac{5}{8}

3 x^{2} - 7 x = 20