What is factor x^2-1/3 x+1/36 ?

The solution to factor x^2-1/3 x+1/36 is (x-1/6)^2

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factor x^2-1/3 x+1/36

factor

x^{2} - \frac{1}{3} x + \frac{1}{36}

(x - \frac{1}{6})^{2}

Solution steps

x^{2} - \frac{1}{3} x + \frac{1}{36}

Rewrite in the form of

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

Factor

\frac{1}{36} : (\frac{1}{6})^{2}

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

Apply Perfect Square Formula:

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

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

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

- 9 (z + 8) = - 9 z - 72

5 x^{2} - 5

(2 y + 8)^{2} = 125

\frac{1}{2} (15 \cdot 1 0^{- 6}) (11 \cdot 1 0^{3})

- \frac{π}{2} < 4 x + π < \frac{π}{2}

What is factor x^2-1/3 x+1/36 ?
The solution to factor x^2-1/3 x+1/36 is (x-1/6)^2