What is factor 12x^3-24x^2+12x ?

The solution to factor 12x^3-24x^2+12x is 12x(x-1)^2

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factor 12x^3-24x^2+12x

factor

12 x^{3} - 24 x^{2} + 12 x

12 x (x - 1)^{2}

Solution steps

12 x^{3} - 24 x^{2} + 12 x

Factor out common term

12 x : 12 x (x^{2} - 2 x + 1)

= 12 x (x^{2} - 2 x + 1)

Factor

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

= 12 x (x - 1) (x - 1)

Apply exponent rule:

aa = a^{2}

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

= 12 x (x - 1)^{2}

3 x^{2} \times x^{4}

(10 - 2 x)^{2}

\frac{729}{6}

x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16

0.000 3^{2}

What is factor 12x^3-24x^2+12x ?
The solution to factor 12x^3-24x^2+12x is 12x(x-1)^2