What is factor 4x^2-2x^3-2x ?

The solution to factor 4x^2-2x^3-2x is -2x(x-1)^2

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factor 4x^2-2x^3-2x

factor

4 x^{2} - 2 x^{3} - 2 x

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

Solution steps

4 x^{2} - 2 x^{3} - 2 x

Write in the standard form

= - 2 x^{3} + 4 x^{2} - 2 x

Factor out common term

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

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

Factor

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

= - 2 x (x - 1) (x - 1)

Apply exponent rule:

aa = a^{2}

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

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

9 x^{2} - 6 x \geq - 1

- 2 (\frac{3}{2})^{1}

\frac{1}{2} x - 4 \leq \frac{1}{3} x + 5

2 (x - 3) - 3 = 4

4 x = x + 9