What is factor 2x-a^2y-2a^2x+y ?

The solution to factor 2x-a^2y-2a^2x+y is -(1+a)(-1+a)(2x+y)

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factor 2x-a^2y-2a^2x+y

factor

2 x - a^{2} y - 2 a^{2} x + y

- (1 + a) (- 1 + a) (2 x + y)

Solution steps

2 x - a^{2} y - 2 a^{2} x + y

Rewrite as

= 1 \cdot 2 x - a^{2} y - 2 x a^{2} + y

Factor out common term

2 x

= 2 x (1 - a^{2}) - a^{2} y + y

Factor

- a^{2} + 1 : - (a + 1) (a - 1)

= y - a^{2} y + 2 x (- (a + 1) (a - 1))

Factor out common term

y

= 2 x (- (1 + a) (- 1 + a)) + y (- a^{2} + 1)

Factor

- a^{2} + 1 : - (a + 1) (a - 1)

= 2 x (- (a + 1) (a - 1)) + y (- (a + 1) (a - 1))

Factor out common term

(- (1 + a) (- 1 + a))

= (- (1 + a) (- 1 + a)) (2 x + y)

Refine

= - (a + 1) (a - 1) (2 x + y)

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What is factor 2x-a^2y-2a^2x+y ?
The solution to factor 2x-a^2y-2a^2x+y is -(1+a)(-1+a)(2x+y)