What is factor 36x^2-12x+1 ?

The solution to factor 36x^2-12x+1 is (6x-1)^2

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factor 36x^2-12x+1

factor

36 x^{2} - 12 x + 1

(6 x - 1)^{2}

Solution steps

36 x^{2} - 12 x + 1

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

36 x^{2} = (6 x)^{2}

1 = 1^{2}

- 12 x = - 2 \cdot 6 x \cdot 1

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

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

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

= (6 x - 1)^{2}

∣ x - 4 ∣ = 8

4 = - 6 x - \frac{1}{2}

n^{2} - 5 n - 36

(125)^{\frac{1}{3}}

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