What is factor 6x(3x-1)^2+2x^2(1-3x)^2 ?

The solution to factor 6x(3x-1)^2+2x^2(1-3x)^2 is 2x(3x-1)^2(3+x)

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factor 6x(3x-1)^2+2x^2(1-3x)^2

factor

6 x (3 x - 1)^{2} + 2 x^{2} (1 - 3 x)^{2}

2 x (3 x - 1)^{2} (3 + x)

Solution steps

6 x (3 x - 1)^{2} + 2 x^{2} (1 - 3 x)^{2}

(1 - 3 x)^{2} = (3 x - 1)^{2}

= 6 x (3 x - 1)^{2} + 2 x^{2} (3 x - 1)^{2}

Factor out common term

2 x (3 x - 1)^{2} : 2 x (3 x - 1)^{2} (3 + x)

= 2 x (3 x - 1)^{2} (3 + x)

2 x - \frac{1}{2} = \frac{1}{4}

x^{4} - 41 x^{2} + 400

4 a^{2} - 9 b^{2}

(x - 4) (x + 2) > 0

\frac{12}{5} + \frac{3}{4} + 2

What is factor 6x(3x-1)^2+2x^2(1-3x)^2 ?
The solution to factor 6x(3x-1)^2+2x^2(1-3x)^2 is 2x(3x-1)^2(3+x)