What is factor 75x^3-30x^2+3x ?

The solution to factor 75x^3-30x^2+3x is 3x(5x-1)^2

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factor 75x^3-30x^2+3x

factor

75 x^{3} - 30 x^{2} + 3 x

3 x (5 x - 1)^{2}

Solution steps

75 x^{3} - 30 x^{2} + 3 x

Factor out common term

3 x : 3 x (25 x^{2} - 10 x + 1)

= 3 x (25 x^{2} - 10 x + 1)

Factor

25 x^{2} - 10 x + 1 : (5 x - 1) (5 x - 1)

= 3 x (5 x - 1) (5 x - 1)

Apply exponent rule:

aa = a^{2}

(5 x - 1) (5 x - 1) = (5 x - 1)^{2}

= 3 x (5 x - 1)^{2}

50 x^{2} - 72 y^{2}

(x^{2} + 5 x) - 2 (x^{2} + 5 x) - 24

\frac{17}{64}

5 x^{2} + 28 x = 49

8 1^{\frac{1}{4}}

What is factor 75x^3-30x^2+3x ?
The solution to factor 75x^3-30x^2+3x is 3x(5x-1)^2