What is factor ax-2ay+5bx-10by+11cx-22cy ?

The solution to factor ax-2ay+5bx-10by+11cx-22cy is (x-2y)(a+5b+11c)

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factor ax-2ay+5bx-10by+11cx-22cy

factor

a x - 2 a y + 5 b x - 10 b y + 11 c x - 22 cy

(x - 2 y) (a + 5 b + 11 c)

Solution steps

a x - 2 a y + 5 b x - 10 b y + 11 c x - 22 cy

Factor out common term

a

= a (x - 2 y) + 5 b x - 10 b y + 11 c x - 22 cy

Rewrite as

= a (x - 2 y) + 5 b x - 2 \cdot 5 b y + 11 c x - 22 cy

Factor out common term

5 b

= a (x - 2 y) + 5 b (x - 2 y) + 11 c x - 22 cy

Factor out common term

(x - 2 y)

= (x - 2 y) (a + 5 b) + 11 c x - 22 cy

Rewrite as

= (x - 2 y) (a + 5 b) + 11 c x - 2 \cdot 11 cy

Factor out common term

11 c

= (x - 2 y) (a + 5 b) + 11 c (x - 2 y)

Factor out common term

(x - 2 y)

= (x - 2 y) (a + 5 b + 11 c)

[arctanh (cos (x))]

a c - 2 a d + 2 b c - 4 b d

cos (a^{3} + x^{3})

2^{2} + 3 x + 1

f x - 3 f x f y + 5 f y

What is factor ax-2ay+5bx-10by+11cx-22cy ?
The solution to factor ax-2ay+5bx-10by+11cx-22cy is (x-2y)(a+5b+11c)