What is factor 2x^2(x-3y)+x(3y-x)^2 ?

The solution to factor 2x^2(x-3y)+x(3y-x)^2 is 3x(x-3y)(x-y)

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factor 2x^2(x-3y)+x(3y-x)^2

factor

2 x^{2} (x - 3 y) + x (3 y - x)^{2}

3 x (x - 3 y) (x - y)

Solution steps

2 x^{2} (x - 3 y) + x (3 y - x)^{2}

(3 y - x)^{2} = (x - 3 y)^{2}

= 2 x^{2} (x - 3 y) + x (x - 3 y)^{2}

Factor out common term

x (x - 3 y) : x (x - 3 y) (3 x - 3 y)

= x (x - 3 y) (3 x - 3 y)

Factor

3 x - 3 y : 3 (x - y)

= x (x - 3 y) \cdot 3 (x - y)

= 3 x (x - 3 y) (x - y)

- 2 x^{- 4}

3 b^{2} + 14 b + 8

x^{2} - 11 x + 18 = 0

2 n^{2} + 7 n + 6

- 3 \cdot 0

What is factor 2x^2(x-3y)+x(3y-x)^2 ?
The solution to factor 2x^2(x-3y)+x(3y-x)^2 is 3x(x-3y)(x-y)