What is factor (a-2b)(x-2y)+(2b-a)(x-y) ?

The solution to factor (a-2b)(x-2y)+(2b-a)(x-y) is -(a-2b)y

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factor (a-2b)(x-2y)+(2b-a)(x-y)

factor

(a - 2 b) (x - 2 y) + (2 b - a) (x - y)

- (a - 2 b) y

Solution steps

(a - 2 b) (x - 2 y) + (2 b - a) (x - y)

2 b - a = - (a - 2 b)

= (a - 2 b) (x - 2 y) - (a - 2 b) (x - y)

Factor out common term

a - 2 b

= (a - 2 b) (x - 2 y - (x - y))

Simplify

(a - 2 b) (x - 2 y - (x - y)) : - (a - 2 b) y

= - (a - 2 b) y

\frac{( 3 x - 2 )}{5} = 2 x - 3

15 n^{3} + 25 n^{2}

(1 + \frac{0.11}{12})^{12} - 1

5 x^{2} - 39 x + 28

x + 34 = 2 - x^{4} - x + 16

What is factor (a-2b)(x-2y)+(2b-a)(x-y) ?
The solution to factor (a-2b)(x-2y)+(2b-a)(x-y) is -(a-2b)y