What is factor ax-bx-ay+by ?

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

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factor ax-bx-ay+by

factor

a x - b x - a y + b y

(x - y) (a - b)

Solution steps

a x - b x - a y + 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)

6 x^{2} - 13 - 5

(tan (x))^{4}

- 1 + tan^{2} (x)

14 a y + 7 a x - 2 b y - b x

6 x^{2} - 15 x y - 4 x z + 10 yz