What is factor 6x-4y-x^2-2y^2 ?

The solution to factor 6x-4y-x^2-2y^2 is -(x^2-6x+2y^2+4y)

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factor 6x-4y-x^2-2y^2

factor

6 x - 4 y - x^{2} - 2 y^{2}

- (x^{2} - 6 x + 2 y^{2} + 4 y)

Solution steps

6 x - 4 y - x^{2} - 2 y^{2}

Group by common factors

= - x^{2} + 6 x - 2 y^{2} - 4 y

= (- x^{2} + 6 x) + (- 2 y^{2} - 4 y)

Factor out

- x

from

- x^{2} + 6 x : - x (x - 6)

Factor out

- 2 y

from

- 2 y^{2} - 4 y : - 2 y (y + 2)

= - x (x - 6) - 2 y (y + 2)

Factor out

- 1

= - (x (x - 6) + 2 y (y + 2))

Expand

x (x - 6) + 2 y (y + 2) : x^{2} - 6 x + 2 y^{2} + 4 y

= - (x^{2} - 6 x + 2 y^{2} + 4 y)

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What is factor 6x-4y-x^2-2y^2 ?
The solution to factor 6x-4y-x^2-2y^2 is -(x^2-6x+2y^2+4y)